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Finding the Fourth Proportional to 5.96, 8.30 and 5.91

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Solution

The fourth proportional to 5.96, 8.30 and 5.91 is: 8.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.96 : 8.30 = 5.91 : x
  2. Step 2: Convert to fraction form
    5.96/8.30 = 5.91/x
  3. Step 3: Cross multiply
    5.96x = 8.30 × 5.91
  4. Step 4: Simplify right side
    5.96x = 49.02
  5. Step 5: Solve for x
    x = 49.02/5.96
  6. Step 6: Final answer
    x = 8.23

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.