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Finding the Fourth Proportional to 29.57, 40.83 and 24.17

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Solution

The fourth proportional to 29.57, 40.83 and 24.17 is: 33.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.57 : 40.83 = 24.17 : x
  2. Step 2: Convert to fraction form
    29.57/40.83 = 24.17/x
  3. Step 3: Cross multiply
    29.57x = 40.83 × 24.17
  4. Step 4: Simplify right side
    29.57x = 986.86
  5. Step 5: Solve for x
    x = 986.86/29.57
  6. Step 6: Final answer
    x = 33.37

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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.