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Finding the Fourth Proportional to 124.13, 171.38 and 77.57

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Solution

The fourth proportional to 124.13, 171.38 and 77.57 is: 107.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.13 : 171.38 = 77.57 : x
  2. Step 2: Convert to fraction form
    124.13/171.38 = 77.57/x
  3. Step 3: Cross multiply
    124.13x = 171.38 × 77.57
  4. Step 4: Simplify right side
    124.13x = 13,293.95
  5. Step 5: Solve for x
    x = 13,293.95/124.13
  6. Step 6: Final answer
    x = 107.10

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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.