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Finding the Fourth Proportional to 132.03, 182.25 and 114.68

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Solution

The fourth proportional to 132.03, 182.25 and 114.68 is: 158.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.03 : 182.25 = 114.68 : x
  2. Step 2: Convert to fraction form
    132.03/182.25 = 114.68/x
  3. Step 3: Cross multiply
    132.03x = 182.25 × 114.68
  4. Step 4: Simplify right side
    132.03x = 20,900.89
  5. Step 5: Solve for x
    x = 20,900.89/132.03
  6. Step 6: Final answer
    x = 158.30

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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.