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Finding the Fourth Proportional to 71.11, 106.47 and 53.71

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Solution

The fourth proportional to 71.11, 106.47 and 53.71 is: 80.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.11 : 106.47 = 53.71 : x
  2. Step 2: Convert to fraction form
    71.11/106.47 = 53.71/x
  3. Step 3: Cross multiply
    71.11x = 106.47 × 53.71
  4. Step 4: Simplify right side
    71.11x = 5,718.39
  5. Step 5: Solve for x
    x = 5,718.39/71.11
  6. Step 6: Final answer
    x = 80.41

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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.