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Finding the Fourth Proportional to 36.00, 49.67 and 24.35

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Solution

The fourth proportional to 36.00, 49.67 and 24.35 is: 33.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    36.00 : 49.67 = 24.35 : x
  2. Step 2: Convert to fraction form
    36.00/49.67 = 24.35/x
  3. Step 3: Cross multiply
    36.00x = 49.67 × 24.35
  4. Step 4: Simplify right side
    36.00x = 1,209.29
  5. Step 5: Solve for x
    x = 1,209.29/36.00
  6. Step 6: Final answer
    x = 33.59

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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.