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Finding the Fourth Proportional to 60.46, 82.70 and 59.52

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Solution

The fourth proportional to 60.46, 82.70 and 59.52 is: 81.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    60.46 : 82.70 = 59.52 : x
  2. Step 2: Convert to fraction form
    60.46/82.70 = 59.52/x
  3. Step 3: Cross multiply
    60.46x = 82.70 × 59.52
  4. Step 4: Simplify right side
    60.46x = 4,922.30
  5. Step 5: Solve for x
    x = 4,922.30/60.46
  6. Step 6: Final answer
    x = 81.41

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.