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Finding the Fourth Proportional to 84.47, 126.69 and 29.63

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Solution

The fourth proportional to 84.47, 126.69 and 29.63 is: 44.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.47 : 126.69 = 29.63 : x
  2. Step 2: Convert to fraction form
    84.47/126.69 = 29.63/x
  3. Step 3: Cross multiply
    84.47x = 126.69 × 29.63
  4. Step 4: Simplify right side
    84.47x = 3,753.82
  5. Step 5: Solve for x
    x = 3,753.82/84.47
  6. Step 6: Final answer
    x = 44.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.