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Finding the Fourth Proportional to 29.61, 40.82 and 22.70

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Solution

The fourth proportional to 29.61, 40.82 and 22.70 is: 31.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.61 : 40.82 = 22.70 : x
  2. Step 2: Convert to fraction form
    29.61/40.82 = 22.70/x
  3. Step 3: Cross multiply
    29.61x = 40.82 × 22.70
  4. Step 4: Simplify right side
    29.61x = 926.47
  5. Step 5: Solve for x
    x = 926.47/29.61
  6. Step 6: Final answer
    x = 31.29

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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.