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Finding the Fourth Proportional to 4.60, 6.86 and 4.31

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Solution

The fourth proportional to 4.60, 6.86 and 4.31 is: 6.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4.60 : 6.86 = 4.31 : x
  2. Step 2: Convert to fraction form
    4.60/6.86 = 4.31/x
  3. Step 3: Cross multiply
    4.60x = 6.86 × 4.31
  4. Step 4: Simplify right side
    4.60x = 29.57
  5. Step 5: Solve for x
    x = 29.57/4.60
  6. Step 6: Final answer
    x = 6.43

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.