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Finding the Fourth Proportional to 1.82, 2.74 and 1.07

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Solution

The fourth proportional to 1.82, 2.74 and 1.07 is: 1.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1.82 : 2.74 = 1.07 : x
  2. Step 2: Convert to fraction form
    1.82/2.74 = 1.07/x
  3. Step 3: Cross multiply
    1.82x = 2.74 × 1.07
  4. Step 4: Simplify right side
    1.82x = 2.93
  5. Step 5: Solve for x
    x = 2.93/1.82
  6. Step 6: Final answer
    x = 1.61

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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.