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Finding the Fourth Proportional to 108.33, 149.54 and 73.54

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Solution

The fourth proportional to 108.33, 149.54 and 73.54 is: 101.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.33 : 149.54 = 73.54 : x
  2. Step 2: Convert to fraction form
    108.33/149.54 = 73.54/x
  3. Step 3: Cross multiply
    108.33x = 149.54 × 73.54
  4. Step 4: Simplify right side
    108.33x = 10,996.98
  5. Step 5: Solve for x
    x = 10,996.98/108.33
  6. Step 6: Final answer
    x = 101.52

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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.