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Finding the Fourth Proportional to 160.75, 221.84 and 102.66

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Solution

The fourth proportional to 160.75, 221.84 and 102.66 is: 141.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.75 : 221.84 = 102.66 : x
  2. Step 2: Convert to fraction form
    160.75/221.84 = 102.66/x
  3. Step 3: Cross multiply
    160.75x = 221.84 × 102.66
  4. Step 4: Simplify right side
    160.75x = 22,774.09
  5. Step 5: Solve for x
    x = 22,774.09/160.75
  6. Step 6: Final answer
    x = 141.67

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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.