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Finding the Fourth Proportional to 74.15, 111.17 and 52.49

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Solution

The fourth proportional to 74.15, 111.17 and 52.49 is: 78.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.15 : 111.17 = 52.49 : x
  2. Step 2: Convert to fraction form
    74.15/111.17 = 52.49/x
  3. Step 3: Cross multiply
    74.15x = 111.17 × 52.49
  4. Step 4: Simplify right side
    74.15x = 5,834.50
  5. Step 5: Solve for x
    x = 5,834.50/74.15
  6. Step 6: Final answer
    x = 78.69

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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.