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Finding the Fourth Proportional to 108.55, 149.77 and 91.13

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Solution

The fourth proportional to 108.55, 149.77 and 91.13 is: 125.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.55 : 149.77 = 91.13 : x
  2. Step 2: Convert to fraction form
    108.55/149.77 = 91.13/x
  3. Step 3: Cross multiply
    108.55x = 149.77 × 91.13
  4. Step 4: Simplify right side
    108.55x = 13,648.69
  5. Step 5: Solve for x
    x = 13,648.69/108.55
  6. Step 6: Final answer
    x = 125.74

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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.