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Finding the Fourth Proportional to 108.19, 149.11 and 77.11

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Solution

The fourth proportional to 108.19, 149.11 and 77.11 is: 106.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.19 : 149.11 = 77.11 : x
  2. Step 2: Convert to fraction form
    108.19/149.11 = 77.11/x
  3. Step 3: Cross multiply
    108.19x = 149.11 × 77.11
  4. Step 4: Simplify right side
    108.19x = 11,496.74
  5. Step 5: Solve for x
    x = 11,496.74/108.19
  6. Step 6: Final answer
    x = 106.26

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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.