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Finding the Fourth Proportional to 4.60, 6.91 and 2.70

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Solution

The fourth proportional to 4.60, 6.91 and 2.70 is: 4.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4.60 : 6.91 = 2.70 : x
  2. Step 2: Convert to fraction form
    4.60/6.91 = 2.70/x
  3. Step 3: Cross multiply
    4.60x = 6.91 × 2.70
  4. Step 4: Simplify right side
    4.60x = 18.64
  5. Step 5: Solve for x
    x = 18.64/4.60
  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.