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Finding the Fourth Proportional to 5.19, 7.14 and 5.19

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Solution

The fourth proportional to 5.19, 7.14 and 5.19 is: 7.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.19 : 7.14 = 5.19 : x
  2. Step 2: Convert to fraction form
    5.19/7.14 = 5.19/x
  3. Step 3: Cross multiply
    5.19x = 7.14 × 5.19
  4. Step 4: Simplify right side
    5.19x = 37.06
  5. Step 5: Solve for x
    x = 37.06/5.19
  6. Step 6: Final answer
    x = 7.14

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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.