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Finding the Fourth Proportional to 101.62, 140.42 and 74.08

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Solution

The fourth proportional to 101.62, 140.42 and 74.08 is: 102.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.62 : 140.42 = 74.08 : x
  2. Step 2: Convert to fraction form
    101.62/140.42 = 74.08/x
  3. Step 3: Cross multiply
    101.62x = 140.42 × 74.08
  4. Step 4: Simplify right side
    101.62x = 10,402.31
  5. Step 5: Solve for x
    x = 10,402.31/101.62
  6. Step 6: Final answer
    x = 102.36

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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.