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Finding the Fourth Proportional to 25.53, 38.30 and 9.28

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Solution

The fourth proportional to 25.53, 38.30 and 9.28 is: 13.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.53 : 38.30 = 9.28 : x
  2. Step 2: Convert to fraction form
    25.53/38.30 = 9.28/x
  3. Step 3: Cross multiply
    25.53x = 38.30 × 9.28
  4. Step 4: Simplify right side
    25.53x = 355.42
  5. Step 5: Solve for x
    x = 355.42/25.53
  6. Step 6: Final answer
    x = 13.92

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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.