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Finding the Fourth Proportional to 71.45, 97.92 and 71.33

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Solution

The fourth proportional to 71.45, 97.92 and 71.33 is: 97.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.45 : 97.92 = 71.33 : x
  2. Step 2: Convert to fraction form
    71.45/97.92 = 71.33/x
  3. Step 3: Cross multiply
    71.45x = 97.92 × 71.33
  4. Step 4: Simplify right side
    71.45x = 6,984.14
  5. Step 5: Solve for x
    x = 6,984.14/71.45
  6. Step 6: Final answer
    x = 97.76

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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.