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Finding the Fourth Proportional to 132.04, 182.24 and 76.81

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Solution

The fourth proportional to 132.04, 182.24 and 76.81 is: 106.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.04 : 182.24 = 76.81 : x
  2. Step 2: Convert to fraction form
    132.04/182.24 = 76.81/x
  3. Step 3: Cross multiply
    132.04x = 182.24 × 76.81
  4. Step 4: Simplify right side
    132.04x = 13,997.85
  5. Step 5: Solve for x
    x = 13,997.85/132.04
  6. Step 6: Final answer
    x = 106.01

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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.