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Finding the Fourth Proportional to 74.75, 103.17 and 42.00

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Solution

The fourth proportional to 74.75, 103.17 and 42.00 is: 57.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.75 : 103.17 = 42.00 : x
  2. Step 2: Convert to fraction form
    74.75/103.17 = 42.00/x
  3. Step 3: Cross multiply
    74.75x = 103.17 × 42.00
  4. Step 4: Simplify right side
    74.75x = 4,333.47
  5. Step 5: Solve for x
    x = 4,333.47/74.75
  6. Step 6: Final answer
    x = 57.97

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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.