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Finding the Fourth Proportional to 132.12, 181.96 and 116.56

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Solution

The fourth proportional to 132.12, 181.96 and 116.56 is: 160.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.12 : 181.96 = 116.56 : x
  2. Step 2: Convert to fraction form
    132.12/181.96 = 116.56/x
  3. Step 3: Cross multiply
    132.12x = 181.96 × 116.56
  4. Step 4: Simplify right side
    132.12x = 21,209.26
  5. Step 5: Solve for x
    x = 21,209.26/132.12
  6. Step 6: Final answer
    x = 160.53

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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.