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Finding the Fourth Proportional to 3, 4.13 and 2.57

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Solution

The fourth proportional to 3, 4.13 and 2.57 is: 3.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3 : 4.13 = 2.57 : x
  2. Step 2: Convert to fraction form
    3/4.13 = 2.57/x
  3. Step 3: Cross multiply
    3x = 4.13 × 2.57
  4. Step 4: Simplify right side
    3x = 10.60
  5. Step 5: Solve for x
    x = 10.60/3
  6. Step 6: Final answer
    x = 3.53

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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.