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Finding the Fourth Proportional to 149.19, 205.95 and 102.66

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Solution

The fourth proportional to 149.19, 205.95 and 102.66 is: 141.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.19 : 205.95 = 102.66 : x
  2. Step 2: Convert to fraction form
    149.19/205.95 = 102.66/x
  3. Step 3: Cross multiply
    149.19x = 205.95 × 102.66
  4. Step 4: Simplify right side
    149.19x = 21,142.83
  5. Step 5: Solve for x
    x = 21,142.83/149.19
  6. Step 6: Final answer
    x = 141.72

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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.