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Finding the Fourth Proportional to 71.96, 98.69 and 66.02

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Solution

The fourth proportional to 71.96, 98.69 and 66.02 is: 90.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.96 : 98.69 = 66.02 : x
  2. Step 2: Convert to fraction form
    71.96/98.69 = 66.02/x
  3. Step 3: Cross multiply
    71.96x = 98.69 × 66.02
  4. Step 4: Simplify right side
    71.96x = 6,514.69
  5. Step 5: Solve for x
    x = 6,514.69/71.96
  6. Step 6: Final answer
    x = 90.54

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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.