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Finding the Fourth Proportional to 1.20, 1.81 and 1.12

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Solution

The fourth proportional to 1.20, 1.81 and 1.12 is: 1.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1.20 : 1.81 = 1.12 : x
  2. Step 2: Convert to fraction form
    1.20/1.81 = 1.12/x
  3. Step 3: Cross multiply
    1.20x = 1.81 × 1.12
  4. Step 4: Simplify right side
    1.20x = 2.03
  5. Step 5: Solve for x
    x = 2.03/1.20
  6. Step 6: Final answer
    x = 1.69

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.