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Finding the Fourth Proportional to 106.70, 161 and 102.88

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Solution

The fourth proportional to 106.70, 161 and 102.88 is: 155.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.70 : 161 = 102.88 : x
  2. Step 2: Convert to fraction form
    106.70/161 = 102.88/x
  3. Step 3: Cross multiply
    106.70x = 161 × 102.88
  4. Step 4: Simplify right side
    106.70x = 16,563.68
  5. Step 5: Solve for x
    x = 16,563.68/106.70
  6. Step 6: Final answer
    x = 155.24

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.