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Finding the Fourth Proportional to 25.36, 38.01 and 9.10

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Solution

The fourth proportional to 25.36, 38.01 and 9.10 is: 13.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.36 : 38.01 = 9.10 : x
  2. Step 2: Convert to fraction form
    25.36/38.01 = 9.10/x
  3. Step 3: Cross multiply
    25.36x = 38.01 × 9.10
  4. Step 4: Simplify right side
    25.36x = 345.89
  5. Step 5: Solve for x
    x = 345.89/25.36
  6. Step 6: Final answer
    x = 13.64

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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.