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Finding the Fourth Proportional to 22.92, 31.76 and 22.32

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Solution

The fourth proportional to 22.92, 31.76 and 22.32 is: 30.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.92 : 31.76 = 22.32 : x
  2. Step 2: Convert to fraction form
    22.92/31.76 = 22.32/x
  3. Step 3: Cross multiply
    22.92x = 31.76 × 22.32
  4. Step 4: Simplify right side
    22.92x = 708.88
  5. Step 5: Solve for x
    x = 708.88/22.92
  6. Step 6: Final answer
    x = 30.93

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.