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Finding the Fourth Proportional to 64.20, 95.71 and 59.61

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Solution

The fourth proportional to 64.20, 95.71 and 59.61 is: 88.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.20 : 95.71 = 59.61 : x
  2. Step 2: Convert to fraction form
    64.20/95.71 = 59.61/x
  3. Step 3: Cross multiply
    64.20x = 95.71 × 59.61
  4. Step 4: Simplify right side
    64.20x = 5,705.12
  5. Step 5: Solve for x
    x = 5,705.12/64.20
  6. Step 6: Final answer
    x = 88.86

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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.