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Finding the Fourth Proportional to 63.61, 95.12 and 52.04

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Solution

The fourth proportional to 63.61, 95.12 and 52.04 is: 77.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    63.61 : 95.12 = 52.04 : x
  2. Step 2: Convert to fraction form
    63.61/95.12 = 52.04/x
  3. Step 3: Cross multiply
    63.61x = 95.12 × 52.04
  4. Step 4: Simplify right side
    63.61x = 4,950.51
  5. Step 5: Solve for x
    x = 4,950.51/63.61
  6. Step 6: Final answer
    x = 77.83

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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.