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Finding the Fourth Proportional to 99.96, 149.74 and 71

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Solution

The fourth proportional to 99.96, 149.74 and 71 is: 106.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.96 : 149.74 = 71 : x
  2. Step 2: Convert to fraction form
    99.96/149.74 = 71/x
  3. Step 3: Cross multiply
    99.96x = 149.74 × 71
  4. Step 4: Simplify right side
    99.96x = 10,631.54
  5. Step 5: Solve for x
    x = 10,631.54/99.96
  6. Step 6: Final answer
    x = 106.36

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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.