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Finding the Fourth Proportional to 30.23, 41.72 and 22.83

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Solution

The fourth proportional to 30.23, 41.72 and 22.83 is: 31.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.23 : 41.72 = 22.83 : x
  2. Step 2: Convert to fraction form
    30.23/41.72 = 22.83/x
  3. Step 3: Cross multiply
    30.23x = 41.72 × 22.83
  4. Step 4: Simplify right side
    30.23x = 952.35
  5. Step 5: Solve for x
    x = 952.35/30.23
  6. Step 6: Final answer
    x = 31.51

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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.