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Finding the Fourth Proportional to 71.12, 97.60 and 67.44

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Solution

The fourth proportional to 71.12, 97.60 and 67.44 is: 92.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.12 : 97.60 = 67.44 : x
  2. Step 2: Convert to fraction form
    71.12/97.60 = 67.44/x
  3. Step 3: Cross multiply
    71.12x = 97.60 × 67.44
  4. Step 4: Simplify right side
    71.12x = 6,582.14
  5. Step 5: Solve for x
    x = 6,582.14/71.12
  6. Step 6: Final answer
    x = 92.55

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.