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Finding the Fourth Proportional to 132.31, 199.46 and 123.72

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Solution

The fourth proportional to 132.31, 199.46 and 123.72 is: 186.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.31 : 199.46 = 123.72 : x
  2. Step 2: Convert to fraction form
    132.31/199.46 = 123.72/x
  3. Step 3: Cross multiply
    132.31x = 199.46 × 123.72
  4. Step 4: Simplify right side
    132.31x = 24,677.19
  5. Step 5: Solve for x
    x = 24,677.19/132.31
  6. Step 6: Final answer
    x = 186.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.