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Finding the Fourth Proportional to 96.70, 133.49 and 59.86

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Solution

The fourth proportional to 96.70, 133.49 and 59.86 is: 82.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.70 : 133.49 = 59.86 : x
  2. Step 2: Convert to fraction form
    96.70/133.49 = 59.86/x
  3. Step 3: Cross multiply
    96.70x = 133.49 × 59.86
  4. Step 4: Simplify right side
    96.70x = 7,990.71
  5. Step 5: Solve for x
    x = 7,990.71/96.70
  6. Step 6: Final answer
    x = 82.63

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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.