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Finding the Fourth Proportional to 101.86, 151.57 and 99.43

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Solution

The fourth proportional to 101.86, 151.57 and 99.43 is: 147.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.86 : 151.57 = 99.43 : x
  2. Step 2: Convert to fraction form
    101.86/151.57 = 99.43/x
  3. Step 3: Cross multiply
    101.86x = 151.57 × 99.43
  4. Step 4: Simplify right side
    101.86x = 15,070.35
  5. Step 5: Solve for x
    x = 15,070.35/101.86
  6. Step 6: Final answer
    x = 147.96

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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.