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Finding the Fourth Proportional to 132.66, 182.97 and 117.18

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Solution

The fourth proportional to 132.66, 182.97 and 117.18 is: 161.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.66 : 182.97 = 117.18 : x
  2. Step 2: Convert to fraction form
    132.66/182.97 = 117.18/x
  3. Step 3: Cross multiply
    132.66x = 182.97 × 117.18
  4. Step 4: Simplify right side
    132.66x = 21,440.42
  5. Step 5: Solve for x
    x = 21,440.42/132.66
  6. Step 6: Final answer
    x = 161.62

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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.