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Finding the Fourth Proportional to 74.07, 111.14 and 39.84

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Solution

The fourth proportional to 74.07, 111.14 and 39.84 is: 59.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.07 : 111.14 = 39.84 : x
  2. Step 2: Convert to fraction form
    74.07/111.14 = 39.84/x
  3. Step 3: Cross multiply
    74.07x = 111.14 × 39.84
  4. Step 4: Simplify right side
    74.07x = 4,427.62
  5. Step 5: Solve for x
    x = 4,427.62/74.07
  6. Step 6: Final answer
    x = 59.78

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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.