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Finding the Fourth Proportional to 132.31, 182.69 and 107.85

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Solution

The fourth proportional to 132.31, 182.69 and 107.85 is: 148.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.31 : 182.69 = 107.85 : x
  2. Step 2: Convert to fraction form
    132.31/182.69 = 107.85/x
  3. Step 3: Cross multiply
    132.31x = 182.69 × 107.85
  4. Step 4: Simplify right side
    132.31x = 19,703.12
  5. Step 5: Solve for x
    x = 19,703.12/132.31
  6. Step 6: Final answer
    x = 148.92

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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.