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Finding the Fourth Proportional to 108.88, 149.63 and 101.68

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Solution

The fourth proportional to 108.88, 149.63 and 101.68 is: 139.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.88 : 149.63 = 101.68 : x
  2. Step 2: Convert to fraction form
    108.88/149.63 = 101.68/x
  3. Step 3: Cross multiply
    108.88x = 149.63 × 101.68
  4. Step 4: Simplify right side
    108.88x = 15,214.38
  5. Step 5: Solve for x
    x = 15,214.38/108.88
  6. Step 6: Final answer
    x = 139.74

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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.