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Finding the Fourth Proportional to 284, 426 and 91.62

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Solution

The fourth proportional to 284, 426 and 91.62 is: 137.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    284 : 426 = 91.62 : x
  2. Step 2: Convert to fraction form
    284/426 = 91.62/x
  3. Step 3: Cross multiply
    284x = 426 × 91.62
  4. Step 4: Simplify right side
    284x = 39,030.12
  5. Step 5: Solve for x
    x = 39,030.12/284
  6. Step 6: Final answer
    x = 137.43

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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.