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Finding the Fourth Proportional to 132.38, 182.64 and 77.10

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Solution

The fourth proportional to 132.38, 182.64 and 77.10 is: 106.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.38 : 182.64 = 77.10 : x
  2. Step 2: Convert to fraction form
    132.38/182.64 = 77.10/x
  3. Step 3: Cross multiply
    132.38x = 182.64 × 77.10
  4. Step 4: Simplify right side
    132.38x = 14,081.54
  5. Step 5: Solve for x
    x = 14,081.54/132.38
  6. Step 6: Final answer
    x = 106.38

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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.