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Finding the Fourth Proportional to 66.40, 90.96 and 63.97

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Solution

The fourth proportional to 66.40, 90.96 and 63.97 is: 87.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.40 : 90.96 = 63.97 : x
  2. Step 2: Convert to fraction form
    66.40/90.96 = 63.97/x
  3. Step 3: Cross multiply
    66.40x = 90.96 × 63.97
  4. Step 4: Simplify right side
    66.40x = 5,818.71
  5. Step 5: Solve for x
    x = 5,818.71/66.40
  6. Step 6: Final answer
    x = 87.63

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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.