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Finding the Fourth Proportional to 149.58, 206.42 and 105.98

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Solution

The fourth proportional to 149.58, 206.42 and 105.98 is: 146.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.58 : 206.42 = 105.98 : x
  2. Step 2: Convert to fraction form
    149.58/206.42 = 105.98/x
  3. Step 3: Cross multiply
    149.58x = 206.42 × 105.98
  4. Step 4: Simplify right side
    149.58x = 21,874.83
  5. Step 5: Solve for x
    x = 21,874.83/149.58
  6. Step 6: Final answer
    x = 146.24

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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.