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Finding the Fourth Proportional to 1.36, 2.04 and 0.47

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Solution

The fourth proportional to 1.36, 2.04 and 0.47 is: 0.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1.36 : 2.04 = 0.47 : x
  2. Step 2: Convert to fraction form
    1.36/2.04 = 0.47/x
  3. Step 3: Cross multiply
    1.36x = 2.04 × 0.47
  4. Step 4: Simplify right side
    1.36x = 0.96
  5. Step 5: Solve for x
    x = 0.96/1.36
  6. Step 6: Final answer
    x = 0.70

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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.