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Finding the Fourth Proportional to 74.91, 112.41 and 46.04

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Solution

The fourth proportional to 74.91, 112.41 and 46.04 is: 69.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.91 : 112.41 = 46.04 : x
  2. Step 2: Convert to fraction form
    74.91/112.41 = 46.04/x
  3. Step 3: Cross multiply
    74.91x = 112.41 × 46.04
  4. Step 4: Simplify right side
    74.91x = 5,174.56
  5. Step 5: Solve for x
    x = 5,174.56/74.91
  6. Step 6: Final answer
    x = 69.08

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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.