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Finding the Fourth Proportional to 73.72, 101.62 and 71.55

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Solution

The fourth proportional to 73.72, 101.62 and 71.55 is: 98.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.72 : 101.62 = 71.55 : x
  2. Step 2: Convert to fraction form
    73.72/101.62 = 71.55/x
  3. Step 3: Cross multiply
    73.72x = 101.62 × 71.55
  4. Step 4: Simplify right side
    73.72x = 7,270.91
  5. Step 5: Solve for x
    x = 7,270.91/73.72
  6. Step 6: Final answer
    x = 98.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.