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Finding the Fourth Proportional to 36.88, 50.82 and 32.77

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Solution

The fourth proportional to 36.88, 50.82 and 32.77 is: 45.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    36.88 : 50.82 = 32.77 : x
  2. Step 2: Convert to fraction form
    36.88/50.82 = 32.77/x
  3. Step 3: Cross multiply
    36.88x = 50.82 × 32.77
  4. Step 4: Simplify right side
    36.88x = 1,665.37
  5. Step 5: Solve for x
    x = 1,665.37/36.88
  6. Step 6: Final answer
    x = 45.16

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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.