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Finding the Fourth Proportional to 63.42, 95.10 and 24.90

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Solution

The fourth proportional to 63.42, 95.10 and 24.90 is: 37.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    63.42 : 95.10 = 24.90 : x
  2. Step 2: Convert to fraction form
    63.42/95.10 = 24.90/x
  3. Step 3: Cross multiply
    63.42x = 95.10 × 24.90
  4. Step 4: Simplify right side
    63.42x = 2,367.99
  5. Step 5: Solve for x
    x = 2,367.99/63.42
  6. Step 6: Final answer
    x = 37.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.