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Finding the Fourth Proportional to 74.65, 111.96 and 25.89

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Solution

The fourth proportional to 74.65, 111.96 and 25.89 is: 38.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.65 : 111.96 = 25.89 : x
  2. Step 2: Convert to fraction form
    74.65/111.96 = 25.89/x
  3. Step 3: Cross multiply
    74.65x = 111.96 × 25.89
  4. Step 4: Simplify right side
    74.65x = 2,898.21
  5. Step 5: Solve for x
    x = 2,898.21/74.65
  6. Step 6: Final answer
    x = 38.83

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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.