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Finding the Fourth Proportional to 26.02, 39.02 and 6.75

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Solution

The fourth proportional to 26.02, 39.02 and 6.75 is: 10.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    26.02 : 39.02 = 6.75 : x
  2. Step 2: Convert to fraction form
    26.02/39.02 = 6.75/x
  3. Step 3: Cross multiply
    26.02x = 39.02 × 6.75
  4. Step 4: Simplify right side
    26.02x = 263.60
  5. Step 5: Solve for x
    x = 263.60/26.02
  6. Step 6: Final answer
    x = 10.13

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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.