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Finding the Fourth Proportional to 30.22, 41.45 and 29.77

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Solution

The fourth proportional to 30.22, 41.45 and 29.77 is: 40.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.22 : 41.45 = 29.77 : x
  2. Step 2: Convert to fraction form
    30.22/41.45 = 29.77/x
  3. Step 3: Cross multiply
    30.22x = 41.45 × 29.77
  4. Step 4: Simplify right side
    30.22x = 1,233.97
  5. Step 5: Solve for x
    x = 1,233.97/30.22
  6. Step 6: Final answer
    x = 40.83

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.