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Finding the Fourth Proportional to 32.29, 44.49 and 23.05

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Solution

The fourth proportional to 32.29, 44.49 and 23.05 is: 31.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    32.29 : 44.49 = 23.05 : x
  2. Step 2: Convert to fraction form
    32.29/44.49 = 23.05/x
  3. Step 3: Cross multiply
    32.29x = 44.49 × 23.05
  4. Step 4: Simplify right side
    32.29x = 1,025.64
  5. Step 5: Solve for x
    x = 1,025.64/32.29
  6. Step 6: Final answer
    x = 31.77

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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.