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Finding the Fourth Proportional to 71.86, 99.16 and 54.13

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Solution

The fourth proportional to 71.86, 99.16 and 54.13 is: 74.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.86 : 99.16 = 54.13 : x
  2. Step 2: Convert to fraction form
    71.86/99.16 = 54.13/x
  3. Step 3: Cross multiply
    71.86x = 99.16 × 54.13
  4. Step 4: Simplify right side
    71.86x = 5,367.04
  5. Step 5: Solve for x
    x = 5,367.04/71.86
  6. Step 6: Final answer
    x = 74.69

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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.