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Finding the Fourth Proportional to 132.38, 182.54 and 107.74

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Solution

The fourth proportional to 132.38, 182.54 and 107.74 is: 148.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.38 : 182.54 = 107.74 : x
  2. Step 2: Convert to fraction form
    132.38/182.54 = 107.74/x
  3. Step 3: Cross multiply
    132.38x = 182.54 × 107.74
  4. Step 4: Simplify right side
    132.38x = 19,666.67
  5. Step 5: Solve for x
    x = 19,666.67/132.38
  6. Step 6: Final answer
    x = 148.57

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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.