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Finding the Fourth Proportional to 75.65, 104.49 and 60.12

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Solution

The fourth proportional to 75.65, 104.49 and 60.12 is: 83.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.65 : 104.49 = 60.12 : x
  2. Step 2: Convert to fraction form
    75.65/104.49 = 60.12/x
  3. Step 3: Cross multiply
    75.65x = 104.49 × 60.12
  4. Step 4: Simplify right side
    75.65x = 6,281.94
  5. Step 5: Solve for x
    x = 6,281.94/75.65
  6. Step 6: Final answer
    x = 83.04

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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.