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Finding the Fourth Proportional to 73.10, 100.24 and 71.48

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Solution

The fourth proportional to 73.10, 100.24 and 71.48 is: 98.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.10 : 100.24 = 71.48 : x
  2. Step 2: Convert to fraction form
    73.10/100.24 = 71.48/x
  3. Step 3: Cross multiply
    73.10x = 100.24 × 71.48
  4. Step 4: Simplify right side
    73.10x = 7,165.23
  5. Step 5: Solve for x
    x = 7,165.23/73.10
  6. Step 6: Final answer
    x = 98.02

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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.