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Finding the Fourth Proportional to 36.24, 49.98 and 23.28

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Solution

The fourth proportional to 36.24, 49.98 and 23.28 is: 32.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    36.24 : 49.98 = 23.28 : x
  2. Step 2: Convert to fraction form
    36.24/49.98 = 23.28/x
  3. Step 3: Cross multiply
    36.24x = 49.98 × 23.28
  4. Step 4: Simplify right side
    36.24x = 1,163.53
  5. Step 5: Solve for x
    x = 1,163.53/36.24
  6. Step 6: Final answer
    x = 32.11

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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.