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Finding the Fourth Proportional to 132.60, 182.75 and 121.07

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Solution

The fourth proportional to 132.60, 182.75 and 121.07 is: 166.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.60 : 182.75 = 121.07 : x
  2. Step 2: Convert to fraction form
    132.60/182.75 = 121.07/x
  3. Step 3: Cross multiply
    132.60x = 182.75 × 121.07
  4. Step 4: Simplify right side
    132.60x = 22,124.02
  5. Step 5: Solve for x
    x = 22,124.02/132.60
  6. Step 6: Final answer
    x = 166.85

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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.