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Finding the Fourth Proportional to 108.07, 149.11 and 73.06

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Solution

The fourth proportional to 108.07, 149.11 and 73.06 is: 100.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.07 : 149.11 = 73.06 : x
  2. Step 2: Convert to fraction form
    108.07/149.11 = 73.06/x
  3. Step 3: Cross multiply
    108.07x = 149.11 × 73.06
  4. Step 4: Simplify right side
    108.07x = 10,893.98
  5. Step 5: Solve for x
    x = 10,893.98/108.07
  6. Step 6: Final answer
    x = 100.80

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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.