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Finding the Fourth Proportional to 123.96, 170.76 and 118.56

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Solution

The fourth proportional to 123.96, 170.76 and 118.56 is: 163.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.96 : 170.76 = 118.56 : x
  2. Step 2: Convert to fraction form
    123.96/170.76 = 118.56/x
  3. Step 3: Cross multiply
    123.96x = 170.76 × 118.56
  4. Step 4: Simplify right side
    123.96x = 20,245.31
  5. Step 5: Solve for x
    x = 20,245.31/123.96
  6. Step 6: Final answer
    x = 163.32

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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.