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Finding the Fourth Proportional to 5.82, 8.00 and 5.14

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Solution

The fourth proportional to 5.82, 8.00 and 5.14 is: 7.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.82 : 8.00 = 5.14 : x
  2. Step 2: Convert to fraction form
    5.82/8.00 = 5.14/x
  3. Step 3: Cross multiply
    5.82x = 8.00 × 5.14
  4. Step 4: Simplify right side
    5.82x = 41.10
  5. Step 5: Solve for x
    x = 41.10/5.82
  6. Step 6: Final answer
    x = 7.06

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.