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Finding the Fourth Proportional to 108.40, 149.56 and 86.52

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Solution

The fourth proportional to 108.40, 149.56 and 86.52 is: 119.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.40 : 149.56 = 86.52 : x
  2. Step 2: Convert to fraction form
    108.40/149.56 = 86.52/x
  3. Step 3: Cross multiply
    108.40x = 149.56 × 86.52
  4. Step 4: Simplify right side
    108.40x = 12,939.93
  5. Step 5: Solve for x
    x = 12,939.93/108.40
  6. Step 6: Final answer
    x = 119.37

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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.