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Finding the Fourth Proportional to 88.81, 133.40 and 71.71

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Solution

The fourth proportional to 88.81, 133.40 and 71.71 is: 107.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    88.81 : 133.40 = 71.71 : x
  2. Step 2: Convert to fraction form
    88.81/133.40 = 71.71/x
  3. Step 3: Cross multiply
    88.81x = 133.40 × 71.71
  4. Step 4: Simplify right side
    88.81x = 9,566.11
  5. Step 5: Solve for x
    x = 9,566.11/88.81
  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.