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Finding the Fourth Proportional to 34.02, 47.15 and 32.06

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Solution

The fourth proportional to 34.02, 47.15 and 32.06 is: 44.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    34.02 : 47.15 = 32.06 : x
  2. Step 2: Convert to fraction form
    34.02/47.15 = 32.06/x
  3. Step 3: Cross multiply
    34.02x = 47.15 × 32.06
  4. Step 4: Simplify right side
    34.02x = 1,511.71
  5. Step 5: Solve for x
    x = 1,511.71/34.02
  6. Step 6: Final answer
    x = 44.44

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.