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Finding the Fourth Proportional to 108.49, 149.78 and 77.44

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Solution

The fourth proportional to 108.49, 149.78 and 77.44 is: 106.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.49 : 149.78 = 77.44 : x
  2. Step 2: Convert to fraction form
    108.49/149.78 = 77.44/x
  3. Step 3: Cross multiply
    108.49x = 149.78 × 77.44
  4. Step 4: Simplify right side
    108.49x = 11,598.58
  5. Step 5: Solve for x
    x = 11,598.58/108.49
  6. Step 6: Final answer
    x = 106.91

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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.