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Finding the Fourth Proportional to 91.95, 137.74 and 75.93

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Solution

The fourth proportional to 91.95, 137.74 and 75.93 is: 113.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.95 : 137.74 = 75.93 : x
  2. Step 2: Convert to fraction form
    91.95/137.74 = 75.93/x
  3. Step 3: Cross multiply
    91.95x = 137.74 × 75.93
  4. Step 4: Simplify right side
    91.95x = 10,458.60
  5. Step 5: Solve for x
    x = 10,458.60/91.95
  6. Step 6: Final answer
    x = 113.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.