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Finding the Fourth Proportional to 5.35, 8.02 and 4.85

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Solution

The fourth proportional to 5.35, 8.02 and 4.85 is: 7.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.35 : 8.02 = 4.85 : x
  2. Step 2: Convert to fraction form
    5.35/8.02 = 4.85/x
  3. Step 3: Cross multiply
    5.35x = 8.02 × 4.85
  4. Step 4: Simplify right side
    5.35x = 38.90
  5. Step 5: Solve for x
    x = 38.90/5.35
  6. Step 6: Final answer
    x = 7.27

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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.