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Finding the Fourth Proportional to 71.60, 106.81 and 68.18

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Solution

The fourth proportional to 71.60, 106.81 and 68.18 is: 101.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.60 : 106.81 = 68.18 : x
  2. Step 2: Convert to fraction form
    71.60/106.81 = 68.18/x
  3. Step 3: Cross multiply
    71.60x = 106.81 × 68.18
  4. Step 4: Simplify right side
    71.60x = 7,281.60
  5. Step 5: Solve for x
    x = 7,281.60/71.60
  6. Step 6: Final answer
    x = 101.71

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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.