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Finding the Fourth Proportional to 70.59, 105.29 and 69.56

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Solution

The fourth proportional to 70.59, 105.29 and 69.56 is: 103.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.59 : 105.29 = 69.56 : x
  2. Step 2: Convert to fraction form
    70.59/105.29 = 69.56/x
  3. Step 3: Cross multiply
    70.59x = 105.29 × 69.56
  4. Step 4: Simplify right side
    70.59x = 7,323.10
  5. Step 5: Solve for x
    x = 7,323.10/70.59
  6. Step 6: Final answer
    x = 103.74

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.