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Finding the Fourth Proportional to 285.52, 428.38 and 102.92

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Solution

The fourth proportional to 285.52, 428.38 and 102.92 is: 154.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.52 : 428.38 = 102.92 : x
  2. Step 2: Convert to fraction form
    285.52/428.38 = 102.92/x
  3. Step 3: Cross multiply
    285.52x = 428.38 × 102.92
  4. Step 4: Simplify right side
    285.52x = 44,088.87
  5. Step 5: Solve for x
    x = 44,088.87/285.52
  6. Step 6: Final answer
    x = 154.42

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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.