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Finding the Fourth Proportional to 26.77, 40.15 and 9.64

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Solution

The fourth proportional to 26.77, 40.15 and 9.64 is: 14.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    26.77 : 40.15 = 9.64 : x
  2. Step 2: Convert to fraction form
    26.77/40.15 = 9.64/x
  3. Step 3: Cross multiply
    26.77x = 40.15 × 9.64
  4. Step 4: Simplify right side
    26.77x = 387.05
  5. Step 5: Solve for x
    x = 387.05/26.77
  6. Step 6: Final answer
    x = 14.46

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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.