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Finding the Fourth Proportional to 27.07, 37.32 and 22.97

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Solution

The fourth proportional to 27.07, 37.32 and 22.97 is: 31.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.07 : 37.32 = 22.97 : x
  2. Step 2: Convert to fraction form
    27.07/37.32 = 22.97/x
  3. Step 3: Cross multiply
    27.07x = 37.32 × 22.97
  4. Step 4: Simplify right side
    27.07x = 857.24
  5. Step 5: Solve for x
    x = 857.24/27.07
  6. Step 6: Final answer
    x = 31.67

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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.