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Finding the Fourth Proportional to 73.81, 110.90 and 65.17

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Solution

The fourth proportional to 73.81, 110.90 and 65.17 is: 97.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.81 : 110.90 = 65.17 : x
  2. Step 2: Convert to fraction form
    73.81/110.90 = 65.17/x
  3. Step 3: Cross multiply
    73.81x = 110.90 × 65.17
  4. Step 4: Simplify right side
    73.81x = 7,227.35
  5. Step 5: Solve for x
    x = 7,227.35/73.81
  6. Step 6: Final answer
    x = 97.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.