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Finding the Fourth Proportional to 155.28, 214.38 and 102.84

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Solution

The fourth proportional to 155.28, 214.38 and 102.84 is: 141.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.28 : 214.38 = 102.84 : x
  2. Step 2: Convert to fraction form
    155.28/214.38 = 102.84/x
  3. Step 3: Cross multiply
    155.28x = 214.38 × 102.84
  4. Step 4: Simplify right side
    155.28x = 22,046.04
  5. Step 5: Solve for x
    x = 22,046.04/155.28
  6. Step 6: Final answer
    x = 141.97

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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.