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Finding the Fourth Proportional to 132.86, 199.43 and 106.13

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Solution

The fourth proportional to 132.86, 199.43 and 106.13 is: 159.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.86 : 199.43 = 106.13 : x
  2. Step 2: Convert to fraction form
    132.86/199.43 = 106.13/x
  3. Step 3: Cross multiply
    132.86x = 199.43 × 106.13
  4. Step 4: Simplify right side
    132.86x = 21,164.77
  5. Step 5: Solve for x
    x = 21,164.77/132.86
  6. Step 6: Final answer
    x = 159.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.