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Finding the Fourth Proportional to 63.74, 95.76 and 52.34

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Solution

The fourth proportional to 63.74, 95.76 and 52.34 is: 78.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    63.74 : 95.76 = 52.34 : x
  2. Step 2: Convert to fraction form
    63.74/95.76 = 52.34/x
  3. Step 3: Cross multiply
    63.74x = 95.76 × 52.34
  4. Step 4: Simplify right side
    63.74x = 5,011.60
  5. Step 5: Solve for x
    x = 5,011.60/63.74
  6. Step 6: Final answer
    x = 78.63

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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.