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Finding the Fourth Proportional to 63.65, 87.81 and 47.24

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Solution

The fourth proportional to 63.65, 87.81 and 47.24 is: 65.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    63.65 : 87.81 = 47.24 : x
  2. Step 2: Convert to fraction form
    63.65/87.81 = 47.24/x
  3. Step 3: Cross multiply
    63.65x = 87.81 × 47.24
  4. Step 4: Simplify right side
    63.65x = 4,148.14
  5. Step 5: Solve for x
    x = 4,148.14/63.65
  6. Step 6: Final answer
    x = 65.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.