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Finding the Fourth Proportional to 27.83, 38.41 and 16.77

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Solution

The fourth proportional to 27.83, 38.41 and 16.77 is: 23.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.83 : 38.41 = 16.77 : x
  2. Step 2: Convert to fraction form
    27.83/38.41 = 16.77/x
  3. Step 3: Cross multiply
    27.83x = 38.41 × 16.77
  4. Step 4: Simplify right side
    27.83x = 643.95
  5. Step 5: Solve for x
    x = 643.95/27.83
  6. Step 6: Final answer
    x = 23.14

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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.