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Finding the Fourth Proportional to 5.14, 7.72 and 4.54

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Solution

The fourth proportional to 5.14, 7.72 and 4.54 is: 6.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.14 : 7.72 = 4.54 : x
  2. Step 2: Convert to fraction form
    5.14/7.72 = 4.54/x
  3. Step 3: Cross multiply
    5.14x = 7.72 × 4.54
  4. Step 4: Simplify right side
    5.14x = 35.02
  5. Step 5: Solve for x
    x = 35.02/5.14
  6. Step 6: Final answer
    x = 6.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.