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Finding the Fourth Proportional to 20.06, 29.82 and 19.58

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Solution

The fourth proportional to 20.06, 29.82 and 19.58 is: 29.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.06 : 29.82 = 19.58 : x
  2. Step 2: Convert to fraction form
    20.06/29.82 = 19.58/x
  3. Step 3: Cross multiply
    20.06x = 29.82 × 19.58
  4. Step 4: Simplify right side
    20.06x = 583.88
  5. Step 5: Solve for x
    x = 583.88/20.06
  6. Step 6: Final answer
    x = 29.11

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.