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Finding the Fourth Proportional to 132.06, 182.17 and 76.77

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Solution

The fourth proportional to 132.06, 182.17 and 76.77 is: 105.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.06 : 182.17 = 76.77 : x
  2. Step 2: Convert to fraction form
    132.06/182.17 = 76.77/x
  3. Step 3: Cross multiply
    132.06x = 182.17 × 76.77
  4. Step 4: Simplify right side
    132.06x = 13,986.02
  5. Step 5: Solve for x
    x = 13,986.02/132.06
  6. Step 6: Final answer
    x = 105.91

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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.