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Finding the Fourth Proportional to 71.12, 106 and 68.96

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Solution

The fourth proportional to 71.12, 106 and 68.96 is: 102.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.12 : 106 = 68.96 : x
  2. Step 2: Convert to fraction form
    71.12/106 = 68.96/x
  3. Step 3: Cross multiply
    71.12x = 106 × 68.96
  4. Step 4: Simplify right side
    71.12x = 7,309.76
  5. Step 5: Solve for x
    x = 7,309.76/71.12
  6. Step 6: Final answer
    x = 102.78

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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.