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Finding the Fourth Proportional to 32.50, 44.84 and 20.86

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Solution

The fourth proportional to 32.50, 44.84 and 20.86 is: 28.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    32.50 : 44.84 = 20.86 : x
  2. Step 2: Convert to fraction form
    32.50/44.84 = 20.86/x
  3. Step 3: Cross multiply
    32.50x = 44.84 × 20.86
  4. Step 4: Simplify right side
    32.50x = 935.14
  5. Step 5: Solve for x
    x = 935.14/32.50
  6. Step 6: Final answer
    x = 28.77

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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.