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Finding the Fourth Proportional to 1.29, 1.94 and 0.54

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Solution

The fourth proportional to 1.29, 1.94 and 0.54 is: 0.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1.29 : 1.94 = 0.54 : x
  2. Step 2: Convert to fraction form
    1.29/1.94 = 0.54/x
  3. Step 3: Cross multiply
    1.29x = 1.94 × 0.54
  4. Step 4: Simplify right side
    1.29x = 1.05
  5. Step 5: Solve for x
    x = 1.05/1.29
  6. Step 6: Final answer
    x = 0.81

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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.