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Finding the Fourth Proportional to 73.68, 100.93 and 71.36

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Solution

The fourth proportional to 73.68, 100.93 and 71.36 is: 97.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.68 : 100.93 = 71.36 : x
  2. Step 2: Convert to fraction form
    73.68/100.93 = 71.36/x
  3. Step 3: Cross multiply
    73.68x = 100.93 × 71.36
  4. Step 4: Simplify right side
    73.68x = 7,202.36
  5. Step 5: Solve for x
    x = 7,202.36/73.68
  6. Step 6: Final answer
    x = 97.75

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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.