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Finding the Fourth Proportional to 20.86, 31.29 and 7.32

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Solution

The fourth proportional to 20.86, 31.29 and 7.32 is: 10.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.86 : 31.29 = 7.32 : x
  2. Step 2: Convert to fraction form
    20.86/31.29 = 7.32/x
  3. Step 3: Cross multiply
    20.86x = 31.29 × 7.32
  4. Step 4: Simplify right side
    20.86x = 229.13
  5. Step 5: Solve for x
    x = 229.13/20.86
  6. Step 6: Final answer
    x = 10.99

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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.