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Finding the Fourth Proportional to 74.87, 112.17 and 53.09

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Solution

The fourth proportional to 74.87, 112.17 and 53.09 is: 79.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.87 : 112.17 = 53.09 : x
  2. Step 2: Convert to fraction form
    74.87/112.17 = 53.09/x
  3. Step 3: Cross multiply
    74.87x = 112.17 × 53.09
  4. Step 4: Simplify right side
    74.87x = 5,955.24
  5. Step 5: Solve for x
    x = 5,955.24/74.87
  6. Step 6: Final answer
    x = 79.55

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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.