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Finding the Fourth Proportional to 285.17, 427.94 and 102.61

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Solution

The fourth proportional to 285.17, 427.94 and 102.61 is: 153.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.17 : 427.94 = 102.61 : x
  2. Step 2: Convert to fraction form
    285.17/427.94 = 102.61/x
  3. Step 3: Cross multiply
    285.17x = 427.94 × 102.61
  4. Step 4: Simplify right side
    285.17x = 43,908.27
  5. Step 5: Solve for x
    x = 43,908.27/285.17
  6. Step 6: Final answer
    x = 153.97

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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.