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Finding the Fourth Proportional to 46.36, 63.78 and 43.24

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Solution

The fourth proportional to 46.36, 63.78 and 43.24 is: 59.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.36 : 63.78 = 43.24 : x
  2. Step 2: Convert to fraction form
    46.36/63.78 = 43.24/x
  3. Step 3: Cross multiply
    46.36x = 63.78 × 43.24
  4. Step 4: Simplify right side
    46.36x = 2,757.85
  5. Step 5: Solve for x
    x = 2,757.85/46.36
  6. Step 6: Final answer
    x = 59.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.