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Finding the Fourth Proportional to 160.24, 221.14 and 86.56

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Solution

The fourth proportional to 160.24, 221.14 and 86.56 is: 119.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.24 : 221.14 = 86.56 : x
  2. Step 2: Convert to fraction form
    160.24/221.14 = 86.56/x
  3. Step 3: Cross multiply
    160.24x = 221.14 × 86.56
  4. Step 4: Simplify right side
    160.24x = 19,141.50
  5. Step 5: Solve for x
    x = 19,141.50/160.24
  6. Step 6: Final answer
    x = 119.45

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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.