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Finding the Fourth Proportional to 108.42, 149.46 and 75.74

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Solution

The fourth proportional to 108.42, 149.46 and 75.74 is: 104.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.42 : 149.46 = 75.74 : x
  2. Step 2: Convert to fraction form
    108.42/149.46 = 75.74/x
  3. Step 3: Cross multiply
    108.42x = 149.46 × 75.74
  4. Step 4: Simplify right side
    108.42x = 11,320.10
  5. Step 5: Solve for x
    x = 11,320.10/108.42
  6. Step 6: Final answer
    x = 104.41

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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.