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Finding the Fourth Proportional to 5.89, 8.14 and 5.13

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Solution

The fourth proportional to 5.89, 8.14 and 5.13 is: 7.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.89 : 8.14 = 5.13 : x
  2. Step 2: Convert to fraction form
    5.89/8.14 = 5.13/x
  3. Step 3: Cross multiply
    5.89x = 8.14 × 5.13
  4. Step 4: Simplify right side
    5.89x = 41.76
  5. Step 5: Solve for x
    x = 41.76/5.89
  6. Step 6: Final answer
    x = 7.09

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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.