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Finding the Fourth Proportional to 160.56, 221.29 and 123.81

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Solution

The fourth proportional to 160.56, 221.29 and 123.81 is: 170.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.56 : 221.29 = 123.81 : x
  2. Step 2: Convert to fraction form
    160.56/221.29 = 123.81/x
  3. Step 3: Cross multiply
    160.56x = 221.29 × 123.81
  4. Step 4: Simplify right side
    160.56x = 27,396.78
  5. Step 5: Solve for x
    x = 27,396.78/160.56
  6. Step 6: Final answer
    x = 170.63

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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.