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Finding the Fourth Proportional to 26.74, 40.12 and 9.63

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Solution

The fourth proportional to 26.74, 40.12 and 9.63 is: 14.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    26.74 : 40.12 = 9.63 : x
  2. Step 2: Convert to fraction form
    26.74/40.12 = 9.63/x
  3. Step 3: Cross multiply
    26.74x = 40.12 × 9.63
  4. Step 4: Simplify right side
    26.74x = 386.36
  5. Step 5: Solve for x
    x = 386.36/26.74
  6. Step 6: Final answer
    x = 14.45

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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.