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Finding the Fourth Proportional to 108.29, 148.79 and 103.52

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Solution

The fourth proportional to 108.29, 148.79 and 103.52 is: 142.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.29 : 148.79 = 103.52 : x
  2. Step 2: Convert to fraction form
    108.29/148.79 = 103.52/x
  3. Step 3: Cross multiply
    108.29x = 148.79 × 103.52
  4. Step 4: Simplify right side
    108.29x = 15,401.48
  5. Step 5: Solve for x
    x = 15,401.48/108.29
  6. Step 6: Final answer
    x = 142.23

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.