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Finding the Fourth Proportional to 101.48, 151.04 and 99.24

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Solution

The fourth proportional to 101.48, 151.04 and 99.24 is: 147.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.48 : 151.04 = 99.24 : x
  2. Step 2: Convert to fraction form
    101.48/151.04 = 99.24/x
  3. Step 3: Cross multiply
    101.48x = 151.04 × 99.24
  4. Step 4: Simplify right side
    101.48x = 14,989.21
  5. Step 5: Solve for x
    x = 14,989.21/101.48
  6. Step 6: Final answer
    x = 147.71

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.