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Finding the Fourth Proportional to 2.23, 3.35 and 1.23

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Solution

The fourth proportional to 2.23, 3.35 and 1.23 is: 1.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.23 : 3.35 = 1.23 : x
  2. Step 2: Convert to fraction form
    2.23/3.35 = 1.23/x
  3. Step 3: Cross multiply
    2.23x = 3.35 × 1.23
  4. Step 4: Simplify right side
    2.23x = 4.13
  5. Step 5: Solve for x
    x = 4.13/2.23
  6. Step 6: Final answer
    x = 1.85

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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.