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Finding the Fourth Proportional to 25.96, 35.68 and 24.40

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Solution

The fourth proportional to 25.96, 35.68 and 24.40 is: 33.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.96 : 35.68 = 24.40 : x
  2. Step 2: Convert to fraction form
    25.96/35.68 = 24.40/x
  3. Step 3: Cross multiply
    25.96x = 35.68 × 24.40
  4. Step 4: Simplify right side
    25.96x = 870.59
  5. Step 5: Solve for x
    x = 870.59/25.96
  6. Step 6: Final answer
    x = 33.54

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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.