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Finding the Fourth Proportional to 132.48, 182.67 and 101.43

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Solution

The fourth proportional to 132.48, 182.67 and 101.43 is: 139.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.48 : 182.67 = 101.43 : x
  2. Step 2: Convert to fraction form
    132.48/182.67 = 101.43/x
  3. Step 3: Cross multiply
    132.48x = 182.67 × 101.43
  4. Step 4: Simplify right side
    132.48x = 18,528.22
  5. Step 5: Solve for x
    x = 18,528.22/132.48
  6. Step 6: Final answer
    x = 139.86

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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.