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Finding the Fourth Proportional to 46.27, 69.40 and 15.84

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Solution

The fourth proportional to 46.27, 69.40 and 15.84 is: 23.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.27 : 69.40 = 15.84 : x
  2. Step 2: Convert to fraction form
    46.27/69.40 = 15.84/x
  3. Step 3: Cross multiply
    46.27x = 69.40 × 15.84
  4. Step 4: Simplify right side
    46.27x = 1,099.17
  5. Step 5: Solve for x
    x = 1,099.17/46.27
  6. Step 6: Final answer
    x = 23.75

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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.