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Finding the Fourth Proportional to 285.53, 428.34 and 102.88

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Solution

The fourth proportional to 285.53, 428.34 and 102.88 is: 154.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.53 : 428.34 = 102.88 : x
  2. Step 2: Convert to fraction form
    285.53/428.34 = 102.88/x
  3. Step 3: Cross multiply
    285.53x = 428.34 × 102.88
  4. Step 4: Simplify right side
    285.53x = 44,067.10
  5. Step 5: Solve for x
    x = 44,067.10/285.53
  6. Step 6: Final answer
    x = 154.33

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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.