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Finding the Fourth Proportional to 108.02, 149.02 and 71.19

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Solution

The fourth proportional to 108.02, 149.02 and 71.19 is: 98.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.02 : 149.02 = 71.19 : x
  2. Step 2: Convert to fraction form
    108.02/149.02 = 71.19/x
  3. Step 3: Cross multiply
    108.02x = 149.02 × 71.19
  4. Step 4: Simplify right side
    108.02x = 10,608.73
  5. Step 5: Solve for x
    x = 10,608.73/108.02
  6. Step 6: Final answer
    x = 98.21

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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.