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Finding the Fourth Proportional to 108.70, 149.76 and 84.06

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Solution

The fourth proportional to 108.70, 149.76 and 84.06 is: 115.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.70 : 149.76 = 84.06 : x
  2. Step 2: Convert to fraction form
    108.70/149.76 = 84.06/x
  3. Step 3: Cross multiply
    108.70x = 149.76 × 84.06
  4. Step 4: Simplify right side
    108.70x = 12,588.83
  5. Step 5: Solve for x
    x = 12,588.83/108.70
  6. Step 6: Final answer
    x = 115.81

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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.