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Finding the Fourth Proportional to 71.93, 98.47 and 69.60

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Solution

The fourth proportional to 71.93, 98.47 and 69.60 is: 95.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.93 : 98.47 = 69.60 : x
  2. Step 2: Convert to fraction form
    71.93/98.47 = 69.60/x
  3. Step 3: Cross multiply
    71.93x = 98.47 × 69.60
  4. Step 4: Simplify right side
    71.93x = 6,853.97
  5. Step 5: Solve for x
    x = 6,853.97/71.93
  6. Step 6: Final answer
    x = 95.28

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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.