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Finding the Fourth Proportional to 66.62, 91.89 and 59.78

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Solution

The fourth proportional to 66.62, 91.89 and 59.78 is: 82.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.62 : 91.89 = 59.78 : x
  2. Step 2: Convert to fraction form
    66.62/91.89 = 59.78/x
  3. Step 3: Cross multiply
    66.62x = 91.89 × 59.78
  4. Step 4: Simplify right side
    66.62x = 5,493.18
  5. Step 5: Solve for x
    x = 5,493.18/66.62
  6. Step 6: Final answer
    x = 82.46

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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.