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Finding the Fourth Proportional to 72.95, 100.71 and 68.80

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Solution

The fourth proportional to 72.95, 100.71 and 68.80 is: 94.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.95 : 100.71 = 68.80 : x
  2. Step 2: Convert to fraction form
    72.95/100.71 = 68.80/x
  3. Step 3: Cross multiply
    72.95x = 100.71 × 68.80
  4. Step 4: Simplify right side
    72.95x = 6,928.85
  5. Step 5: Solve for x
    x = 6,928.85/72.95
  6. Step 6: Final answer
    x = 94.98

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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.