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Finding the Fourth Proportional to 108.32, 149.57 and 75.56

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Solution

The fourth proportional to 108.32, 149.57 and 75.56 is: 104.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.32 : 149.57 = 75.56 : x
  2. Step 2: Convert to fraction form
    108.32/149.57 = 75.56/x
  3. Step 3: Cross multiply
    108.32x = 149.57 × 75.56
  4. Step 4: Simplify right side
    108.32x = 11,300.38
  5. Step 5: Solve for x
    x = 11,300.38/108.32
  6. Step 6: Final answer
    x = 104.33

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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.