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Finding the Fourth Proportional to 101.76, 151.68 and 95.52

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Solution

The fourth proportional to 101.76, 151.68 and 95.52 is: 142.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.76 : 151.68 = 95.52 : x
  2. Step 2: Convert to fraction form
    101.76/151.68 = 95.52/x
  3. Step 3: Cross multiply
    101.76x = 151.68 × 95.52
  4. Step 4: Simplify right side
    101.76x = 14,488.47
  5. Step 5: Solve for x
    x = 14,488.47/101.76
  6. Step 6: Final answer
    x = 142.38

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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.