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Finding the Fourth Proportional to 132.72, 182.94 and 106.45

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Solution

The fourth proportional to 132.72, 182.94 and 106.45 is: 146.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.72 : 182.94 = 106.45 : x
  2. Step 2: Convert to fraction form
    132.72/182.94 = 106.45/x
  3. Step 3: Cross multiply
    132.72x = 182.94 × 106.45
  4. Step 4: Simplify right side
    132.72x = 19,473.96
  5. Step 5: Solve for x
    x = 19,473.96/132.72
  6. Step 6: Final answer
    x = 146.73

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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.