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Finding the Fourth Proportional to 25.84, 35.72 and 24.33

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Solution

The fourth proportional to 25.84, 35.72 and 24.33 is: 33.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.84 : 35.72 = 24.33 : x
  2. Step 2: Convert to fraction form
    25.84/35.72 = 24.33/x
  3. Step 3: Cross multiply
    25.84x = 35.72 × 24.33
  4. Step 4: Simplify right side
    25.84x = 869.07
  5. Step 5: Solve for x
    x = 869.07/25.84
  6. Step 6: Final answer
    x = 33.63

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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.