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Finding the Fourth Proportional to 27.16, 37.44 and 20.58

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Solution

The fourth proportional to 27.16, 37.44 and 20.58 is: 28.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.16 : 37.44 = 20.58 : x
  2. Step 2: Convert to fraction form
    27.16/37.44 = 20.58/x
  3. Step 3: Cross multiply
    27.16x = 37.44 × 20.58
  4. Step 4: Simplify right side
    27.16x = 770.52
  5. Step 5: Solve for x
    x = 770.52/27.16
  6. Step 6: Final answer
    x = 28.37

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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.