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Finding the Fourth Proportional to 8.02, 10.83 and 8.02

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Solution

The fourth proportional to 8.02, 10.83 and 8.02 is: 10.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.02 : 10.83 = 8.02 : x
  2. Step 2: Convert to fraction form
    8.02/10.83 = 8.02/x
  3. Step 3: Cross multiply
    8.02x = 10.83 × 8.02
  4. Step 4: Simplify right side
    8.02x = 86.86
  5. Step 5: Solve for x
    x = 86.86/8.02
  6. Step 6: Final answer
    x = 10.83

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.