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Finding the Fourth Proportional to 5.14, 7.75 and 4.91

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Solution

The fourth proportional to 5.14, 7.75 and 4.91 is: 7.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.14 : 7.75 = 4.91 : x
  2. Step 2: Convert to fraction form
    5.14/7.75 = 4.91/x
  3. Step 3: Cross multiply
    5.14x = 7.75 × 4.91
  4. Step 4: Simplify right side
    5.14x = 38.05
  5. Step 5: Solve for x
    x = 38.05/5.14
  6. Step 6: Final answer
    x = 7.40

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.