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Finding the Fourth Proportional to 108.32, 149.44 and 69.52

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Solution

The fourth proportional to 108.32, 149.44 and 69.52 is: 95.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.32 : 149.44 = 69.52 : x
  2. Step 2: Convert to fraction form
    108.32/149.44 = 69.52/x
  3. Step 3: Cross multiply
    108.32x = 149.44 × 69.52
  4. Step 4: Simplify right side
    108.32x = 10,389.07
  5. Step 5: Solve for x
    x = 10,389.07/108.32
  6. Step 6: Final answer
    x = 95.91

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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.