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Finding the Fourth Proportional to 36.58, 50.50 and 24.28

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Solution

The fourth proportional to 36.58, 50.50 and 24.28 is: 33.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    36.58 : 50.50 = 24.28 : x
  2. Step 2: Convert to fraction form
    36.58/50.50 = 24.28/x
  3. Step 3: Cross multiply
    36.58x = 50.50 × 24.28
  4. Step 4: Simplify right side
    36.58x = 1,226.14
  5. Step 5: Solve for x
    x = 1,226.14/36.58
  6. Step 6: Final answer
    x = 33.52

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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.