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Finding the Fourth Proportional to 84.08, 116.00 and 52.96

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Solution

The fourth proportional to 84.08, 116.00 and 52.96 is: 73.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.08 : 116.00 = 52.96 : x
  2. Step 2: Convert to fraction form
    84.08/116.00 = 52.96/x
  3. Step 3: Cross multiply
    84.08x = 116.00 × 52.96
  4. Step 4: Simplify right side
    84.08x = 6,143.44
  5. Step 5: Solve for x
    x = 6,143.44/84.08
  6. Step 6: Final answer
    x = 73.07

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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.