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Finding the Fourth Proportional to 73.89, 110.66 and 52.17

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Solution

The fourth proportional to 73.89, 110.66 and 52.17 is: 78.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.89 : 110.66 = 52.17 : x
  2. Step 2: Convert to fraction form
    73.89/110.66 = 52.17/x
  3. Step 3: Cross multiply
    73.89x = 110.66 × 52.17
  4. Step 4: Simplify right side
    73.89x = 5,773.13
  5. Step 5: Solve for x
    x = 5,773.13/73.89
  6. Step 6: Final answer
    x = 78.13

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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.