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Finding the Fourth Proportional to 70.10, 105.05 and 39.22

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Solution

The fourth proportional to 70.10, 105.05 and 39.22 is: 58.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.10 : 105.05 = 39.22 : x
  2. Step 2: Convert to fraction form
    70.10/105.05 = 39.22/x
  3. Step 3: Cross multiply
    70.10x = 105.05 × 39.22
  4. Step 4: Simplify right side
    70.10x = 4,120.06
  5. Step 5: Solve for x
    x = 4,120.06/70.10
  6. Step 6: Final answer
    x = 58.77

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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.