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Finding the Fourth Proportional to 1.71, 2.55 and 1.71

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Solution

The fourth proportional to 1.71, 2.55 and 1.71 is: 2.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1.71 : 2.55 = 1.71 : x
  2. Step 2: Convert to fraction form
    1.71/2.55 = 1.71/x
  3. Step 3: Cross multiply
    1.71x = 2.55 × 1.71
  4. Step 4: Simplify right side
    1.71x = 4.35
  5. Step 5: Solve for x
    x = 4.35/1.71
  6. Step 6: Final answer
    x = 2.54

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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.