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Finding the Fourth Proportional to 27.85, 38.40 and 24.16

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Solution

The fourth proportional to 27.85, 38.40 and 24.16 is: 33.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.85 : 38.40 = 24.16 : x
  2. Step 2: Convert to fraction form
    27.85/38.40 = 24.16/x
  3. Step 3: Cross multiply
    27.85x = 38.40 × 24.16
  4. Step 4: Simplify right side
    27.85x = 927.74
  5. Step 5: Solve for x
    x = 927.74/27.85
  6. Step 6: Final answer
    x = 33.31

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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.