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Finding the Fourth Proportional to 132.10, 182.46 and 111.45

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Solution

The fourth proportional to 132.10, 182.46 and 111.45 is: 153.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.10 : 182.46 = 111.45 : x
  2. Step 2: Convert to fraction form
    132.10/182.46 = 111.45/x
  3. Step 3: Cross multiply
    132.10x = 182.46 × 111.45
  4. Step 4: Simplify right side
    132.10x = 20,335.17
  5. Step 5: Solve for x
    x = 20,335.17/132.10
  6. Step 6: Final answer
    x = 153.94

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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.