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Finding the Fourth Proportional to 24.83, 34.29 and 23.00

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Solution

The fourth proportional to 24.83, 34.29 and 23.00 is: 31.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.83 : 34.29 = 23.00 : x
  2. Step 2: Convert to fraction form
    24.83/34.29 = 23.00/x
  3. Step 3: Cross multiply
    24.83x = 34.29 × 23.00
  4. Step 4: Simplify right side
    24.83x = 788.84
  5. Step 5: Solve for x
    x = 788.84/24.83
  6. Step 6: Final answer
    x = 31.78

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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.