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Finding the Fourth Proportional to 26.30, 36.29 and 14.64

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Solution

The fourth proportional to 26.30, 36.29 and 14.64 is: 20.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    26.30 : 36.29 = 14.64 : x
  2. Step 2: Convert to fraction form
    26.30/36.29 = 14.64/x
  3. Step 3: Cross multiply
    26.30x = 36.29 × 14.64
  4. Step 4: Simplify right side
    26.30x = 531.49
  5. Step 5: Solve for x
    x = 531.49/26.30
  6. Step 6: Final answer
    x = 20.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.