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Finding the Fourth Proportional to 149.59, 206.35 and 105.95

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Solution

The fourth proportional to 149.59, 206.35 and 105.95 is: 146.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.59 : 206.35 = 105.95 : x
  2. Step 2: Convert to fraction form
    149.59/206.35 = 105.95/x
  3. Step 3: Cross multiply
    149.59x = 206.35 × 105.95
  4. Step 4: Simplify right side
    149.59x = 21,862.78
  5. Step 5: Solve for x
    x = 21,862.78/149.59
  6. Step 6: Final answer
    x = 146.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.