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Finding the Fourth Proportional to 108.89, 149.73 and 95.80

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Solution

The fourth proportional to 108.89, 149.73 and 95.80 is: 131.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.89 : 149.73 = 95.80 : x
  2. Step 2: Convert to fraction form
    108.89/149.73 = 95.80/x
  3. Step 3: Cross multiply
    108.89x = 149.73 × 95.80
  4. Step 4: Simplify right side
    108.89x = 14,343.39
  5. Step 5: Solve for x
    x = 14,343.39/108.89
  6. Step 6: Final answer
    x = 131.72

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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.