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Finding the Fourth Proportional to 73.25, 100.42 and 71.95

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Solution

The fourth proportional to 73.25, 100.42 and 71.95 is: 98.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.25 : 100.42 = 71.95 : x
  2. Step 2: Convert to fraction form
    73.25/100.42 = 71.95/x
  3. Step 3: Cross multiply
    73.25x = 100.42 × 71.95
  4. Step 4: Simplify right side
    73.25x = 7,225.22
  5. Step 5: Solve for x
    x = 7,225.22/73.25
  6. Step 6: Final answer
    x = 98.64

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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.