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Finding the Fourth Proportional to 63.66, 95.52 and 42

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Solution

The fourth proportional to 63.66, 95.52 and 42 is: 63.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    63.66 : 95.52 = 42 : x
  2. Step 2: Convert to fraction form
    63.66/95.52 = 42/x
  3. Step 3: Cross multiply
    63.66x = 95.52 × 42
  4. Step 4: Simplify right side
    63.66x = 4,011.84
  5. Step 5: Solve for x
    x = 4,011.84/63.66
  6. Step 6: Final answer
    x = 63.02

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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.