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Finding the Fourth Proportional to 108.13, 149.06 and 84.79

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Solution

The fourth proportional to 108.13, 149.06 and 84.79 is: 116.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.13 : 149.06 = 84.79 : x
  2. Step 2: Convert to fraction form
    108.13/149.06 = 84.79/x
  3. Step 3: Cross multiply
    108.13x = 149.06 × 84.79
  4. Step 4: Simplify right side
    108.13x = 12,638.80
  5. Step 5: Solve for x
    x = 12,638.80/108.13
  6. Step 6: Final answer
    x = 116.89

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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.