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Finding the Fourth Proportional to 160.48, 221.88 and 129.70

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Solution

The fourth proportional to 160.48, 221.88 and 129.70 is: 179.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.48 : 221.88 = 129.70 : x
  2. Step 2: Convert to fraction form
    160.48/221.88 = 129.70/x
  3. Step 3: Cross multiply
    160.48x = 221.88 × 129.70
  4. Step 4: Simplify right side
    160.48x = 28,777.84
  5. Step 5: Solve for x
    x = 28,777.84/160.48
  6. Step 6: Final answer
    x = 179.32

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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.