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Finding the Fourth Proportional to 25.59, 35.09 and 24.68

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Solution

The fourth proportional to 25.59, 35.09 and 24.68 is: 33.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.59 : 35.09 = 24.68 : x
  2. Step 2: Convert to fraction form
    25.59/35.09 = 24.68/x
  3. Step 3: Cross multiply
    25.59x = 35.09 × 24.68
  4. Step 4: Simplify right side
    25.59x = 866.02
  5. Step 5: Solve for x
    x = 866.02/25.59
  6. Step 6: Final answer
    x = 33.84

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.