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Finding the Fourth Proportional to 0.32, 0.47 and 0.09

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Solution

The fourth proportional to 0.32, 0.47 and 0.09 is: 0.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    0.32 : 0.47 = 0.09 : x
  2. Step 2: Convert to fraction form
    0.32/0.47 = 0.09/x
  3. Step 3: Cross multiply
    0.32x = 0.47 × 0.09
  4. Step 4: Simplify right side
    0.32x = 0.04
  5. Step 5: Solve for x
    x = 0.04/0.32
  6. Step 6: Final answer
    x = 0.14

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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.