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Finding the Fourth Proportional to 36.40, 50.16 and 26.64

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Solution

The fourth proportional to 36.40, 50.16 and 26.64 is: 36.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    36.40 : 50.16 = 26.64 : x
  2. Step 2: Convert to fraction form
    36.40/50.16 = 26.64/x
  3. Step 3: Cross multiply
    36.40x = 50.16 × 26.64
  4. Step 4: Simplify right side
    36.40x = 1,336.26
  5. Step 5: Solve for x
    x = 1,336.26/36.40
  6. Step 6: Final answer
    x = 36.71

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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.