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Finding the Fourth Proportional to 103.96, 154.85 and 101.71

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Solution

The fourth proportional to 103.96, 154.85 and 101.71 is: 151.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.96 : 154.85 = 101.71 : x
  2. Step 2: Convert to fraction form
    103.96/154.85 = 101.71/x
  3. Step 3: Cross multiply
    103.96x = 154.85 × 101.71
  4. Step 4: Simplify right side
    103.96x = 15,749.04
  5. Step 5: Solve for x
    x = 15,749.04/103.96
  6. Step 6: Final answer
    x = 151.49

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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.