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Finding the Fourth Proportional to 32.14, 44.31 and 22.93

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Solution

The fourth proportional to 32.14, 44.31 and 22.93 is: 31.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    32.14 : 44.31 = 22.93 : x
  2. Step 2: Convert to fraction form
    32.14/44.31 = 22.93/x
  3. Step 3: Cross multiply
    32.14x = 44.31 × 22.93
  4. Step 4: Simplify right side
    32.14x = 1,016.03
  5. Step 5: Solve for x
    x = 1,016.03/32.14
  6. Step 6: Final answer
    x = 31.61

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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.