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Finding the Fourth Proportional to 132.62, 182.66 and 111.74

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Solution

The fourth proportional to 132.62, 182.66 and 111.74 is: 153.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.62 : 182.66 = 111.74 : x
  2. Step 2: Convert to fraction form
    132.62/182.66 = 111.74/x
  3. Step 3: Cross multiply
    132.62x = 182.66 × 111.74
  4. Step 4: Simplify right side
    132.62x = 20,408.96
  5. Step 5: Solve for x
    x = 20,408.96/132.62
  6. Step 6: Final answer
    x = 153.90

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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.