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Finding the Fourth Proportional to 132, 182.38 and 110.54

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Solution

The fourth proportional to 132, 182.38 and 110.54 is: 152.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    132 : 182.38 = 110.54 : x
  2. Step 2: Convert to fraction form
    132/182.38 = 110.54/x
  3. Step 3: Cross multiply
    132x = 182.38 × 110.54
  4. Step 4: Simplify right side
    132x = 20,160.29
  5. Step 5: Solve for x
    x = 20,160.29/132
  6. Step 6: Final answer
    x = 152.73

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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.