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Finding the Fourth Proportional to 25.48, 38.15 and 23.02

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Solution

The fourth proportional to 25.48, 38.15 and 23.02 is: 34.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.48 : 38.15 = 23.02 : x
  2. Step 2: Convert to fraction form
    25.48/38.15 = 23.02/x
  3. Step 3: Cross multiply
    25.48x = 38.15 × 23.02
  4. Step 4: Simplify right side
    25.48x = 878.22
  5. Step 5: Solve for x
    x = 878.22/25.48
  6. Step 6: Final answer
    x = 34.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.