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Finding the Fourth Proportional to 70.19, 105.80 and 69.14

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Solution

The fourth proportional to 70.19, 105.80 and 69.14 is: 104.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.19 : 105.80 = 69.14 : x
  2. Step 2: Convert to fraction form
    70.19/105.80 = 69.14/x
  3. Step 3: Cross multiply
    70.19x = 105.80 × 69.14
  4. Step 4: Simplify right side
    70.19x = 7,314.48
  5. Step 5: Solve for x
    x = 7,314.48/70.19
  6. Step 6: Final answer
    x = 104.22

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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.