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Finding the Fourth Proportional to 118.32, 162.96 and 116.70

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Solution

The fourth proportional to 118.32, 162.96 and 116.70 is: 160.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.32 : 162.96 = 116.70 : x
  2. Step 2: Convert to fraction form
    118.32/162.96 = 116.70/x
  3. Step 3: Cross multiply
    118.32x = 162.96 × 116.70
  4. Step 4: Simplify right side
    118.32x = 19,017.43
  5. Step 5: Solve for x
    x = 19,017.43/118.32
  6. Step 6: Final answer
    x = 160.73

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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.