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Finding the Fourth Proportional to 132.49, 182.65 and 91.03

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Solution

The fourth proportional to 132.49, 182.65 and 91.03 is: 125.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.49 : 182.65 = 91.03 : x
  2. Step 2: Convert to fraction form
    132.49/182.65 = 91.03/x
  3. Step 3: Cross multiply
    132.49x = 182.65 × 91.03
  4. Step 4: Simplify right side
    132.49x = 16,625.72
  5. Step 5: Solve for x
    x = 16,625.72/132.49
  6. Step 6: Final answer
    x = 125.49

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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.