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Finding the Fourth Proportional to 71.82, 107.20 and 66.74

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Solution

The fourth proportional to 71.82, 107.20 and 66.74 is: 99.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.82 : 107.20 = 66.74 : x
  2. Step 2: Convert to fraction form
    71.82/107.20 = 66.74/x
  3. Step 3: Cross multiply
    71.82x = 107.20 × 66.74
  4. Step 4: Simplify right side
    71.82x = 7,154.53
  5. Step 5: Solve for x
    x = 7,154.53/71.82
  6. Step 6: Final answer
    x = 99.62

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.