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Finding the Fourth Proportional to 29.57, 40.78 and 21.82

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Solution

The fourth proportional to 29.57, 40.78 and 21.82 is: 30.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.57 : 40.78 = 21.82 : x
  2. Step 2: Convert to fraction form
    29.57/40.78 = 21.82/x
  3. Step 3: Cross multiply
    29.57x = 40.78 × 21.82
  4. Step 4: Simplify right side
    29.57x = 889.76
  5. Step 5: Solve for x
    x = 889.76/29.57
  6. Step 6: Final answer
    x = 30.10

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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.