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Finding the Fourth Proportional to 4.57, 6.85 and 1.71

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Solution

The fourth proportional to 4.57, 6.85 and 1.71 is: 2.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4.57 : 6.85 = 1.71 : x
  2. Step 2: Convert to fraction form
    4.57/6.85 = 1.71/x
  3. Step 3: Cross multiply
    4.57x = 6.85 × 1.71
  4. Step 4: Simplify right side
    4.57x = 11.74
  5. Step 5: Solve for x
    x = 11.74/4.57
  6. Step 6: Final answer
    x = 2.57

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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.