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Finding the Fourth Proportional to 84.16, 126.23 and 32.83

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Solution

The fourth proportional to 84.16, 126.23 and 32.83 is: 49.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.16 : 126.23 = 32.83 : x
  2. Step 2: Convert to fraction form
    84.16/126.23 = 32.83/x
  3. Step 3: Cross multiply
    84.16x = 126.23 × 32.83
  4. Step 4: Simplify right side
    84.16x = 4,143.34
  5. Step 5: Solve for x
    x = 4,143.34/84.16
  6. Step 6: Final answer
    x = 49.23

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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.