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Finding the Fourth Proportional to 70.20, 105.30 and 69.35

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Solution

The fourth proportional to 70.20, 105.30 and 69.35 is: 104.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.20 : 105.30 = 69.35 : x
  2. Step 2: Convert to fraction form
    70.20/105.30 = 69.35/x
  3. Step 3: Cross multiply
    70.20x = 105.30 × 69.35
  4. Step 4: Simplify right side
    70.20x = 7,302.03
  5. Step 5: Solve for x
    x = 7,302.03/70.20
  6. Step 6: Final answer
    x = 104.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.