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Finding the Fourth Proportional to 83.20, 114.68 and 64.78

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Solution

The fourth proportional to 83.20, 114.68 and 64.78 is: 89.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.20 : 114.68 = 64.78 : x
  2. Step 2: Convert to fraction form
    83.20/114.68 = 64.78/x
  3. Step 3: Cross multiply
    83.20x = 114.68 × 64.78
  4. Step 4: Simplify right side
    83.20x = 7,428.97
  5. Step 5: Solve for x
    x = 7,428.97/83.20
  6. Step 6: Final answer
    x = 89.29

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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.