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Finding the Fourth Proportional to 5.14, 7.09 and 4.06

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Solution

The fourth proportional to 5.14, 7.09 and 4.06 is: 5.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.14 : 7.09 = 4.06 : x
  2. Step 2: Convert to fraction form
    5.14/7.09 = 4.06/x
  3. Step 3: Cross multiply
    5.14x = 7.09 × 4.06
  4. Step 4: Simplify right side
    5.14x = 28.79
  5. Step 5: Solve for x
    x = 28.79/5.14
  6. Step 6: Final answer
    x = 5.60

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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.