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Finding the Fourth Proportional to 63.99, 95.72 and 47.88

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Solution

The fourth proportional to 63.99, 95.72 and 47.88 is: 71.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    63.99 : 95.72 = 47.88 : x
  2. Step 2: Convert to fraction form
    63.99/95.72 = 47.88/x
  3. Step 3: Cross multiply
    63.99x = 95.72 × 47.88
  4. Step 4: Simplify right side
    63.99x = 4,582.83
  5. Step 5: Solve for x
    x = 4,582.83/63.99
  6. Step 6: Final answer
    x = 71.62

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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.