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Finding the Fourth Proportional to 30.11, 41.54 and 22.83

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Solution

The fourth proportional to 30.11, 41.54 and 22.83 is: 31.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.11 : 41.54 = 22.83 : x
  2. Step 2: Convert to fraction form
    30.11/41.54 = 22.83/x
  3. Step 3: Cross multiply
    30.11x = 41.54 × 22.83
  4. Step 4: Simplify right side
    30.11x = 948.24
  5. Step 5: Solve for x
    x = 948.24/30.11
  6. Step 6: Final answer
    x = 31.50

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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.