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Finding the Fourth Proportional to 74.68, 111.96 and 42.64

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Solution

The fourth proportional to 74.68, 111.96 and 42.64 is: 63.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.68 : 111.96 = 42.64 : x
  2. Step 2: Convert to fraction form
    74.68/111.96 = 42.64/x
  3. Step 3: Cross multiply
    74.68x = 111.96 × 42.64
  4. Step 4: Simplify right side
    74.68x = 4,773.97
  5. Step 5: Solve for x
    x = 4,773.97/74.68
  6. Step 6: Final answer
    x = 63.93

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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.