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Finding the Fourth Proportional to 61.28, 84.64 and 59.20

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Solution

The fourth proportional to 61.28, 84.64 and 59.20 is: 81.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.28 : 84.64 = 59.20 : x
  2. Step 2: Convert to fraction form
    61.28/84.64 = 59.20/x
  3. Step 3: Cross multiply
    61.28x = 84.64 × 59.20
  4. Step 4: Simplify right side
    61.28x = 5,010.69
  5. Step 5: Solve for x
    x = 5,010.69/61.28
  6. Step 6: Final answer
    x = 81.77

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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.