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Finding the Fourth Proportional to 27.16, 37.46 and 22.30

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Solution

The fourth proportional to 27.16, 37.46 and 22.30 is: 30.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.16 : 37.46 = 22.30 : x
  2. Step 2: Convert to fraction form
    27.16/37.46 = 22.30/x
  3. Step 3: Cross multiply
    27.16x = 37.46 × 22.30
  4. Step 4: Simplify right side
    27.16x = 835.36
  5. Step 5: Solve for x
    x = 835.36/27.16
  6. Step 6: Final answer
    x = 30.76

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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.