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Finding the Fourth Proportional to 132.96, 182.54 and 114.53

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Solution

The fourth proportional to 132.96, 182.54 and 114.53 is: 157.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.96 : 182.54 = 114.53 : x
  2. Step 2: Convert to fraction form
    132.96/182.54 = 114.53/x
  3. Step 3: Cross multiply
    132.96x = 182.54 × 114.53
  4. Step 4: Simplify right side
    132.96x = 20,906.06
  5. Step 5: Solve for x
    x = 20,906.06/132.96
  6. Step 6: Final answer
    x = 157.24

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.