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Finding the Fourth Proportional to 1.81, 2.71 and 1.06

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Solution

The fourth proportional to 1.81, 2.71 and 1.06 is: 1.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1.81 : 2.71 = 1.06 : x
  2. Step 2: Convert to fraction form
    1.81/2.71 = 1.06/x
  3. Step 3: Cross multiply
    1.81x = 2.71 × 1.06
  4. Step 4: Simplify right side
    1.81x = 2.88
  5. Step 5: Solve for x
    x = 2.88/1.81
  6. Step 6: Final answer
    x = 1.59

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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.