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Finding the Fourth Proportional to 91.75, 137.12 and 73.63

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Solution

The fourth proportional to 91.75, 137.12 and 73.63 is: 110.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.75 : 137.12 = 73.63 : x
  2. Step 2: Convert to fraction form
    91.75/137.12 = 73.63/x
  3. Step 3: Cross multiply
    91.75x = 137.12 × 73.63
  4. Step 4: Simplify right side
    91.75x = 10,095.96
  5. Step 5: Solve for x
    x = 10,095.96/91.75
  6. Step 6: Final answer
    x = 110.04

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.