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Finding the Fourth Proportional to 285.20, 427.79 and 102.71

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Solution

The fourth proportional to 285.20, 427.79 and 102.71 is: 154.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.20 : 427.79 = 102.71 : x
  2. Step 2: Convert to fraction form
    285.20/427.79 = 102.71/x
  3. Step 3: Cross multiply
    285.20x = 427.79 × 102.71
  4. Step 4: Simplify right side
    285.20x = 43,939.64
  5. Step 5: Solve for x
    x = 43,939.64/285.20
  6. Step 6: Final answer
    x = 154.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.