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Finding the Fourth Proportional to 132.61, 183.84 and 125.67

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Solution

The fourth proportional to 132.61, 183.84 and 125.67 is: 174.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.61 : 183.84 = 125.67 : x
  2. Step 2: Convert to fraction form
    132.61/183.84 = 125.67/x
  3. Step 3: Cross multiply
    132.61x = 183.84 × 125.67
  4. Step 4: Simplify right side
    132.61x = 23,103.17
  5. Step 5: Solve for x
    x = 23,103.17/132.61
  6. Step 6: Final answer
    x = 174.22

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.