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Finding the Fourth Proportional to 25.08, 34.64 and 23.80

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Solution

The fourth proportional to 25.08, 34.64 and 23.80 is: 32.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.08 : 34.64 = 23.80 : x
  2. Step 2: Convert to fraction form
    25.08/34.64 = 23.80/x
  3. Step 3: Cross multiply
    25.08x = 34.64 × 23.80
  4. Step 4: Simplify right side
    25.08x = 824.43
  5. Step 5: Solve for x
    x = 824.43/25.08
  6. Step 6: Final answer
    x = 32.87

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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.