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Finding the Fourth Proportional to 132.41, 182.74 and 76.41

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Solution

The fourth proportional to 132.41, 182.74 and 76.41 is: 105.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.41 : 182.74 = 76.41 : x
  2. Step 2: Convert to fraction form
    132.41/182.74 = 76.41/x
  3. Step 3: Cross multiply
    132.41x = 182.74 × 76.41
  4. Step 4: Simplify right side
    132.41x = 13,963.16
  5. Step 5: Solve for x
    x = 13,963.16/132.41
  6. Step 6: Final answer
    x = 105.45

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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.