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Finding the Fourth Proportional to 84.04, 115.87 and 70.98

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Solution

The fourth proportional to 84.04, 115.87 and 70.98 is: 97.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.04 : 115.87 = 70.98 : x
  2. Step 2: Convert to fraction form
    84.04/115.87 = 70.98/x
  3. Step 3: Cross multiply
    84.04x = 115.87 × 70.98
  4. Step 4: Simplify right side
    84.04x = 8,224.45
  5. Step 5: Solve for x
    x = 8,224.45/84.04
  6. Step 6: Final answer
    x = 97.86

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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.