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Finding the Fourth Proportional to 66.50, 100.20 and 63.47

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Solution

The fourth proportional to 66.50, 100.20 and 63.47 is: 95.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.50 : 100.20 = 63.47 : x
  2. Step 2: Convert to fraction form
    66.50/100.20 = 63.47/x
  3. Step 3: Cross multiply
    66.50x = 100.20 × 63.47
  4. Step 4: Simplify right side
    66.50x = 6,359.19
  5. Step 5: Solve for x
    x = 6,359.19/66.50
  6. Step 6: Final answer
    x = 95.63

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.