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Finding the Fourth Proportional to 108.77, 149.85 and 105

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Solution

The fourth proportional to 108.77, 149.85 and 105 is: 144.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.77 : 149.85 = 105 : x
  2. Step 2: Convert to fraction form
    108.77/149.85 = 105/x
  3. Step 3: Cross multiply
    108.77x = 149.85 × 105
  4. Step 4: Simplify right side
    108.77x = 15,734.25
  5. Step 5: Solve for x
    x = 15,734.25/108.77
  6. Step 6: Final answer
    x = 144.66

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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.