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Finding the Fourth Proportional to 132.07, 182.48 and 115.67

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Solution

The fourth proportional to 132.07, 182.48 and 115.67 is: 159.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.07 : 182.48 = 115.67 : x
  2. Step 2: Convert to fraction form
    132.07/182.48 = 115.67/x
  3. Step 3: Cross multiply
    132.07x = 182.48 × 115.67
  4. Step 4: Simplify right side
    132.07x = 21,107.46
  5. Step 5: Solve for x
    x = 21,107.46/132.07
  6. Step 6: Final answer
    x = 159.82

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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.