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Finding the Fourth Proportional to 160.82, 222.14 and 124.44

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Solution

The fourth proportional to 160.82, 222.14 and 124.44 is: 171.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.82 : 222.14 = 124.44 : x
  2. Step 2: Convert to fraction form
    160.82/222.14 = 124.44/x
  3. Step 3: Cross multiply
    160.82x = 222.14 × 124.44
  4. Step 4: Simplify right side
    160.82x = 27,643.10
  5. Step 5: Solve for x
    x = 27,643.10/160.82
  6. Step 6: Final answer
    x = 171.89

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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.