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Finding the Fourth Proportional to 124.38, 171.51 and 106.02

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Solution

The fourth proportional to 124.38, 171.51 and 106.02 is: 146.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.38 : 171.51 = 106.02 : x
  2. Step 2: Convert to fraction form
    124.38/171.51 = 106.02/x
  3. Step 3: Cross multiply
    124.38x = 171.51 × 106.02
  4. Step 4: Simplify right side
    124.38x = 18,183.49
  5. Step 5: Solve for x
    x = 18,183.49/124.38
  6. Step 6: Final answer
    x = 146.19

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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.