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Finding the Fourth Proportional to 84.04, 115.84 and 59.48

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Solution

The fourth proportional to 84.04, 115.84 and 59.48 is: 81.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.04 : 115.84 = 59.48 : x
  2. Step 2: Convert to fraction form
    84.04/115.84 = 59.48/x
  3. Step 3: Cross multiply
    84.04x = 115.84 × 59.48
  4. Step 4: Simplify right side
    84.04x = 6,890.16
  5. Step 5: Solve for x
    x = 6,890.16/84.04
  6. Step 6: Final answer
    x = 81.99

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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.