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Finding the Fourth Proportional to 132.30, 182.77 and 112.83

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Solution

The fourth proportional to 132.30, 182.77 and 112.83 is: 155.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.30 : 182.77 = 112.83 : x
  2. Step 2: Convert to fraction form
    132.30/182.77 = 112.83/x
  3. Step 3: Cross multiply
    132.30x = 182.77 × 112.83
  4. Step 4: Simplify right side
    132.30x = 20,621.94
  5. Step 5: Solve for x
    x = 20,621.94/132.30
  6. Step 6: Final answer
    x = 155.87

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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.