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Finding the Fourth Proportional to 101.42, 151.92 and 99.20

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Solution

The fourth proportional to 101.42, 151.92 and 99.20 is: 148.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.42 : 151.92 = 99.20 : x
  2. Step 2: Convert to fraction form
    101.42/151.92 = 99.20/x
  3. Step 3: Cross multiply
    101.42x = 151.92 × 99.20
  4. Step 4: Simplify right side
    101.42x = 15,070.46
  5. Step 5: Solve for x
    x = 15,070.46/101.42
  6. Step 6: Final answer
    x = 148.59

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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.