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Finding the Fourth Proportional to 75.65, 104.41 and 42.92

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Solution

The fourth proportional to 75.65, 104.41 and 42.92 is: 59.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.65 : 104.41 = 42.92 : x
  2. Step 2: Convert to fraction form
    75.65/104.41 = 42.92/x
  3. Step 3: Cross multiply
    75.65x = 104.41 × 42.92
  4. Step 4: Simplify right side
    75.65x = 4,481.02
  5. Step 5: Solve for x
    x = 4,481.02/75.65
  6. Step 6: Final answer
    x = 59.24

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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.