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Finding the Fourth Proportional to 118.29, 162.78 and 102.71

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Solution

The fourth proportional to 118.29, 162.78 and 102.71 is: 141.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.29 : 162.78 = 102.71 : x
  2. Step 2: Convert to fraction form
    118.29/162.78 = 102.71/x
  3. Step 3: Cross multiply
    118.29x = 162.78 × 102.71
  4. Step 4: Simplify right side
    118.29x = 16,718.32
  5. Step 5: Solve for x
    x = 16,718.32/118.29
  6. Step 6: Final answer
    x = 141.33

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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.