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Finding the Fourth Proportional to 32.68, 44.81 and 30.86

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Solution

The fourth proportional to 32.68, 44.81 and 30.86 is: 42.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    32.68 : 44.81 = 30.86 : x
  2. Step 2: Convert to fraction form
    32.68/44.81 = 30.86/x
  3. Step 3: Cross multiply
    32.68x = 44.81 × 30.86
  4. Step 4: Simplify right side
    32.68x = 1,382.84
  5. Step 5: Solve for x
    x = 1,382.84/32.68
  6. Step 6: Final answer
    x = 42.31

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.