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Finding the Fourth Proportional to 27, 37.34 and 22.45

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Solution

The fourth proportional to 27, 37.34 and 22.45 is: 31.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    27 : 37.34 = 22.45 : x
  2. Step 2: Convert to fraction form
    27/37.34 = 22.45/x
  3. Step 3: Cross multiply
    27x = 37.34 × 22.45
  4. Step 4: Simplify right side
    27x = 838.28
  5. Step 5: Solve for x
    x = 838.28/27
  6. Step 6: Final answer
    x = 31.05

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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.