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Finding the Fourth Proportional to 5.24, 7.86 and 2.70

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Solution

The fourth proportional to 5.24, 7.86 and 2.70 is: 4.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.24 : 7.86 = 2.70 : x
  2. Step 2: Convert to fraction form
    5.24/7.86 = 2.70/x
  3. Step 3: Cross multiply
    5.24x = 7.86 × 2.70
  4. Step 4: Simplify right side
    5.24x = 21.22
  5. Step 5: Solve for x
    x = 21.22/5.24
  6. Step 6: Final answer
    x = 4.05

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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.