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Finding the Fourth Proportional to 71.68, 108.06 and 67.04

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Solution

The fourth proportional to 71.68, 108.06 and 67.04 is: 101.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.68 : 108.06 = 67.04 : x
  2. Step 2: Convert to fraction form
    71.68/108.06 = 67.04/x
  3. Step 3: Cross multiply
    71.68x = 108.06 × 67.04
  4. Step 4: Simplify right side
    71.68x = 7,244.34
  5. Step 5: Solve for x
    x = 7,244.34/71.68
  6. Step 6: Final answer
    x = 101.07

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.