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Finding the Fourth Proportional to 132.39, 182.51 and 106.24

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Solution

The fourth proportional to 132.39, 182.51 and 106.24 is: 146.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.39 : 182.51 = 106.24 : x
  2. Step 2: Convert to fraction form
    132.39/182.51 = 106.24/x
  3. Step 3: Cross multiply
    132.39x = 182.51 × 106.24
  4. Step 4: Simplify right side
    132.39x = 19,389.86
  5. Step 5: Solve for x
    x = 19,389.86/132.39
  6. Step 6: Final answer
    x = 146.46

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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.