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Finding the Fourth Proportional to 84.50, 116.34 and 71.30

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Solution

The fourth proportional to 84.50, 116.34 and 71.30 is: 98.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.50 : 116.34 = 71.30 : x
  2. Step 2: Convert to fraction form
    84.50/116.34 = 71.30/x
  3. Step 3: Cross multiply
    84.50x = 116.34 × 71.30
  4. Step 4: Simplify right side
    84.50x = 8,295.04
  5. Step 5: Solve for x
    x = 8,295.04/84.50
  6. Step 6: Final answer
    x = 98.17

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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.