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Finding the Fourth Proportional to 5.76, 7.99 and 5.42

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Solution

The fourth proportional to 5.76, 7.99 and 5.42 is: 7.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.76 : 7.99 = 5.42 : x
  2. Step 2: Convert to fraction form
    5.76/7.99 = 5.42/x
  3. Step 3: Cross multiply
    5.76x = 7.99 × 5.42
  4. Step 4: Simplify right side
    5.76x = 43.30
  5. Step 5: Solve for x
    x = 43.30/5.76
  6. Step 6: Final answer
    x = 7.51

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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.