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Finding the Fourth Proportional to 160.88, 222.03 and 102.78

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Solution

The fourth proportional to 160.88, 222.03 and 102.78 is: 141.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.88 : 222.03 = 102.78 : x
  2. Step 2: Convert to fraction form
    160.88/222.03 = 102.78/x
  3. Step 3: Cross multiply
    160.88x = 222.03 × 102.78
  4. Step 4: Simplify right side
    160.88x = 22,820.24
  5. Step 5: Solve for x
    x = 22,820.24/160.88
  6. Step 6: Final answer
    x = 141.85

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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.