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Finding the Fourth Proportional to 63.76, 95.46 and 42.34

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Solution

The fourth proportional to 63.76, 95.46 and 42.34 is: 63.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    63.76 : 95.46 = 42.34 : x
  2. Step 2: Convert to fraction form
    63.76/95.46 = 42.34/x
  3. Step 3: Cross multiply
    63.76x = 95.46 × 42.34
  4. Step 4: Simplify right side
    63.76x = 4,041.78
  5. Step 5: Solve for x
    x = 4,041.78/63.76
  6. Step 6: Final answer
    x = 63.39

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