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Finding the Fourth Proportional to 26.36, 39.54 and 9.00

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Solution

The fourth proportional to 26.36, 39.54 and 9.00 is: 13.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    26.36 : 39.54 = 9.00 : x
  2. Step 2: Convert to fraction form
    26.36/39.54 = 9.00/x
  3. Step 3: Cross multiply
    26.36x = 39.54 × 9.00
  4. Step 4: Simplify right side
    26.36x = 356.04
  5. Step 5: Solve for x
    x = 356.04/26.36
  6. Step 6: Final answer
    x = 13.51

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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.