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Finding the Fourth Proportional to 5.00, 7.49 and 1.61

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Solution

The fourth proportional to 5.00, 7.49 and 1.61 is: 2.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.00 : 7.49 = 1.61 : x
  2. Step 2: Convert to fraction form
    5.00/7.49 = 1.61/x
  3. Step 3: Cross multiply
    5.00x = 7.49 × 1.61
  4. Step 4: Simplify right side
    5.00x = 12.08
  5. Step 5: Solve for x
    x = 12.08/5.00
  6. Step 6: Final answer
    x = 2.42

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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.