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Finding the Fourth Proportional to 84.08, 126.23 and 71.35

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Solution

The fourth proportional to 84.08, 126.23 and 71.35 is: 107.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.08 : 126.23 = 71.35 : x
  2. Step 2: Convert to fraction form
    84.08/126.23 = 71.35/x
  3. Step 3: Cross multiply
    84.08x = 126.23 × 71.35
  4. Step 4: Simplify right side
    84.08x = 9,006.51
  5. Step 5: Solve for x
    x = 9,006.51/84.08
  6. Step 6: Final answer
    x = 107.12

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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.