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Finding the Fourth Proportional to 132.51, 182.84 and 82.72

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Solution

The fourth proportional to 132.51, 182.84 and 82.72 is: 114.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.51 : 182.84 = 82.72 : x
  2. Step 2: Convert to fraction form
    132.51/182.84 = 82.72/x
  3. Step 3: Cross multiply
    132.51x = 182.84 × 82.72
  4. Step 4: Simplify right side
    132.51x = 15,124.52
  5. Step 5: Solve for x
    x = 15,124.52/132.51
  6. Step 6: Final answer
    x = 114.14

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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.