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Finding the Fourth Proportional to 84.80, 117.03 and 69.22

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Solution

The fourth proportional to 84.80, 117.03 and 69.22 is: 95.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.80 : 117.03 = 69.22 : x
  2. Step 2: Convert to fraction form
    84.80/117.03 = 69.22/x
  3. Step 3: Cross multiply
    84.80x = 117.03 × 69.22
  4. Step 4: Simplify right side
    84.80x = 8,100.83
  5. Step 5: Solve for x
    x = 8,100.83/84.80
  6. Step 6: Final answer
    x = 95.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.