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Finding the Fourth Proportional to 1.32, 1.83 and 1.23

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Solution

The fourth proportional to 1.32, 1.83 and 1.23 is: 1.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1.32 : 1.83 = 1.23 : x
  2. Step 2: Convert to fraction form
    1.32/1.83 = 1.23/x
  3. Step 3: Cross multiply
    1.32x = 1.83 × 1.23
  4. Step 4: Simplify right side
    1.32x = 2.25
  5. Step 5: Solve for x
    x = 2.25/1.32
  6. Step 6: Final answer
    x = 1.71

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.