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Finding the Fourth Proportional to 101.03, 151.64 and 71.76

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Solution

The fourth proportional to 101.03, 151.64 and 71.76 is: 107.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.03 : 151.64 = 71.76 : x
  2. Step 2: Convert to fraction form
    101.03/151.64 = 71.76/x
  3. Step 3: Cross multiply
    101.03x = 151.64 × 71.76
  4. Step 4: Simplify right side
    101.03x = 10,881.87
  5. Step 5: Solve for x
    x = 10,881.87/101.03
  6. Step 6: Final answer
    x = 107.71

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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.