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Finding the Fourth Proportional to 73.05, 100.71 and 71.88

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Solution

The fourth proportional to 73.05, 100.71 and 71.88 is: 99.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.05 : 100.71 = 71.88 : x
  2. Step 2: Convert to fraction form
    73.05/100.71 = 71.88/x
  3. Step 3: Cross multiply
    73.05x = 100.71 × 71.88
  4. Step 4: Simplify right side
    73.05x = 7,239.03
  5. Step 5: Solve for x
    x = 7,239.03/73.05
  6. Step 6: Final answer
    x = 99.10

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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.