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Finding the Fourth Proportional to 71.61, 97.98 and 71.31

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Solution

The fourth proportional to 71.61, 97.98 and 71.31 is: 97.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.61 : 97.98 = 71.31 : x
  2. Step 2: Convert to fraction form
    71.61/97.98 = 71.31/x
  3. Step 3: Cross multiply
    71.61x = 97.98 × 71.31
  4. Step 4: Simplify right side
    71.61x = 6,986.95
  5. Step 5: Solve for x
    x = 6,986.95/71.61
  6. Step 6: Final answer
    x = 97.57

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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.