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Finding the Fourth Proportional to 108.14, 148.15 and 104.03

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Solution

The fourth proportional to 108.14, 148.15 and 104.03 is: 142.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.14 : 148.15 = 104.03 : x
  2. Step 2: Convert to fraction form
    108.14/148.15 = 104.03/x
  3. Step 3: Cross multiply
    108.14x = 148.15 × 104.03
  4. Step 4: Simplify right side
    108.14x = 15,412.04
  5. Step 5: Solve for x
    x = 15,412.04/108.14
  6. Step 6: Final answer
    x = 142.52

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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.