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Finding the Fourth Proportional to 73.71, 101.68 and 49.13

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Solution

The fourth proportional to 73.71, 101.68 and 49.13 is: 67.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.71 : 101.68 = 49.13 : x
  2. Step 2: Convert to fraction form
    73.71/101.68 = 49.13/x
  3. Step 3: Cross multiply
    73.71x = 101.68 × 49.13
  4. Step 4: Simplify right side
    73.71x = 4,995.71
  5. Step 5: Solve for x
    x = 4,995.71/73.71
  6. Step 6: Final answer
    x = 67.78

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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.