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Finding the Fourth Proportional to 44.27, 61.04 and 32.00

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Solution

The fourth proportional to 44.27, 61.04 and 32.00 is: 44.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    44.27 : 61.04 = 32.00 : x
  2. Step 2: Convert to fraction form
    44.27/61.04 = 32.00/x
  3. Step 3: Cross multiply
    44.27x = 61.04 × 32.00
  4. Step 4: Simplify right side
    44.27x = 1,953.05
  5. Step 5: Solve for x
    x = 1,953.05/44.27
  6. Step 6: Final answer
    x = 44.12

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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.