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Finding the Fourth Proportional to 65.80, 90.17 and 63.98

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Solution

The fourth proportional to 65.80, 90.17 and 63.98 is: 87.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.80 : 90.17 = 63.98 : x
  2. Step 2: Convert to fraction form
    65.80/90.17 = 63.98/x
  3. Step 3: Cross multiply
    65.80x = 90.17 × 63.98
  4. Step 4: Simplify right side
    65.80x = 5,769.08
  5. Step 5: Solve for x
    x = 5,769.08/65.80
  6. Step 6: Final answer
    x = 87.68

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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.