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Finding the Fourth Proportional to 132.51, 182.82 and 76.49

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Solution

The fourth proportional to 132.51, 182.82 and 76.49 is: 105.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.51 : 182.82 = 76.49 : x
  2. Step 2: Convert to fraction form
    132.51/182.82 = 76.49/x
  3. Step 3: Cross multiply
    132.51x = 182.82 × 76.49
  4. Step 4: Simplify right side
    132.51x = 13,983.90
  5. Step 5: Solve for x
    x = 13,983.90/132.51
  6. Step 6: Final answer
    x = 105.53

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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.