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Finding the Fourth Proportional to 70.13, 105.75 and 69.17

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Solution

The fourth proportional to 70.13, 105.75 and 69.17 is: 104.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.13 : 105.75 = 69.17 : x
  2. Step 2: Convert to fraction form
    70.13/105.75 = 69.17/x
  3. Step 3: Cross multiply
    70.13x = 105.75 × 69.17
  4. Step 4: Simplify right side
    70.13x = 7,314.30
  5. Step 5: Solve for x
    x = 7,314.30/70.13
  6. Step 6: Final answer
    x = 104.30

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.