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Finding the Fourth Proportional to 108.71, 150.08 and 69.43

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Solution

The fourth proportional to 108.71, 150.08 and 69.43 is: 95.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.71 : 150.08 = 69.43 : x
  2. Step 2: Convert to fraction form
    108.71/150.08 = 69.43/x
  3. Step 3: Cross multiply
    108.71x = 150.08 × 69.43
  4. Step 4: Simplify right side
    108.71x = 10,418.96
  5. Step 5: Solve for x
    x = 10,418.96/108.71
  6. Step 6: Final answer
    x = 95.84

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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.