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Finding the Fourth Proportional to 20.66, 31.01 and 10.52

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Solution

The fourth proportional to 20.66, 31.01 and 10.52 is: 15.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.66 : 31.01 = 10.52 : x
  2. Step 2: Convert to fraction form
    20.66/31.01 = 10.52/x
  3. Step 3: Cross multiply
    20.66x = 31.01 × 10.52
  4. Step 4: Simplify right side
    20.66x = 326.33
  5. Step 5: Solve for x
    x = 326.33/20.66
  6. Step 6: Final answer
    x = 15.79

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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.