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Finding the Fourth Proportional to 20.58, 30.86 and 7.06

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Solution

The fourth proportional to 20.58, 30.86 and 7.06 is: 10.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.58 : 30.86 = 7.06 : x
  2. Step 2: Convert to fraction form
    20.58/30.86 = 7.06/x
  3. Step 3: Cross multiply
    20.58x = 30.86 × 7.06
  4. Step 4: Simplify right side
    20.58x = 217.87
  5. Step 5: Solve for x
    x = 217.87/20.58
  6. Step 6: Final answer
    x = 10.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.