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Finding the Fourth Proportional to 71.80, 106.96 and 69.22

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Solution

The fourth proportional to 71.80, 106.96 and 69.22 is: 103.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.80 : 106.96 = 69.22 : x
  2. Step 2: Convert to fraction form
    71.80/106.96 = 69.22/x
  3. Step 3: Cross multiply
    71.80x = 106.96 × 69.22
  4. Step 4: Simplify right side
    71.80x = 7,403.77
  5. Step 5: Solve for x
    x = 7,403.77/71.80
  6. Step 6: Final answer
    x = 103.12

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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.