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Finding the Fourth Proportional to 99.71, 149.25 and 53.94

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Solution

The fourth proportional to 99.71, 149.25 and 53.94 is: 80.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.71 : 149.25 = 53.94 : x
  2. Step 2: Convert to fraction form
    99.71/149.25 = 53.94/x
  3. Step 3: Cross multiply
    99.71x = 149.25 × 53.94
  4. Step 4: Simplify right side
    99.71x = 8,051.31
  5. Step 5: Solve for x
    x = 8,051.31/99.71
  6. Step 6: Final answer
    x = 80.75

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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.