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Finding the Fourth Proportional to 160.88, 221.95 and 102.70

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Solution

The fourth proportional to 160.88, 221.95 and 102.70 is: 141.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.88 : 221.95 = 102.70 : x
  2. Step 2: Convert to fraction form
    160.88/221.95 = 102.70/x
  3. Step 3: Cross multiply
    160.88x = 221.95 × 102.70
  4. Step 4: Simplify right side
    160.88x = 22,794.27
  5. Step 5: Solve for x
    x = 22,794.27/160.88
  6. Step 6: Final answer
    x = 141.68

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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.