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Finding the Fourth Proportional to 0.23, 0.32 and 0.13

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Solution

The fourth proportional to 0.23, 0.32 and 0.13 is: 0.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    0.23 : 0.32 = 0.13 : x
  2. Step 2: Convert to fraction form
    0.23/0.32 = 0.13/x
  3. Step 3: Cross multiply
    0.23x = 0.32 × 0.13
  4. Step 4: Simplify right side
    0.23x = 0.04
  5. Step 5: Solve for x
    x = 0.04/0.23
  6. Step 6: Final answer
    x = 0.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.