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Finding the Fourth Proportional to 285.38, 427.96 and 102.76

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Solution

The fourth proportional to 285.38, 427.96 and 102.76 is: 154.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.38 : 427.96 = 102.76 : x
  2. Step 2: Convert to fraction form
    285.38/427.96 = 102.76/x
  3. Step 3: Cross multiply
    285.38x = 427.96 × 102.76
  4. Step 4: Simplify right side
    285.38x = 43,977.17
  5. Step 5: Solve for x
    x = 43,977.17/285.38
  6. Step 6: Final answer
    x = 154.10

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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.