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Finding the Fourth Proportional to 91.76, 138.11 and 69.05

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Solution

The fourth proportional to 91.76, 138.11 and 69.05 is: 103.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.76 : 138.11 = 69.05 : x
  2. Step 2: Convert to fraction form
    91.76/138.11 = 69.05/x
  3. Step 3: Cross multiply
    91.76x = 138.11 × 69.05
  4. Step 4: Simplify right side
    91.76x = 9,536.50
  5. Step 5: Solve for x
    x = 9,536.50/91.76
  6. Step 6: Final answer
    x = 103.93

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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.