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Finding the Fourth Proportional to 91.64, 138.02 and 74.55

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Solution

The fourth proportional to 91.64, 138.02 and 74.55 is: 112.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.64 : 138.02 = 74.55 : x
  2. Step 2: Convert to fraction form
    91.64/138.02 = 74.55/x
  3. Step 3: Cross multiply
    91.64x = 138.02 × 74.55
  4. Step 4: Simplify right side
    91.64x = 10,289.54
  5. Step 5: Solve for x
    x = 10,289.54/91.64
  6. Step 6: Final answer
    x = 112.28

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.