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Finding the Fourth Proportional to 108.42, 148.74 and 105.42

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Solution

The fourth proportional to 108.42, 148.74 and 105.42 is: 144.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.42 : 148.74 = 105.42 : x
  2. Step 2: Convert to fraction form
    108.42/148.74 = 105.42/x
  3. Step 3: Cross multiply
    108.42x = 148.74 × 105.42
  4. Step 4: Simplify right side
    108.42x = 15,680.17
  5. Step 5: Solve for x
    x = 15,680.17/108.42
  6. Step 6: Final answer
    x = 144.62

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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.