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Finding the Fourth Proportional to 70.44, 105.20 and 56.85

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Solution

The fourth proportional to 70.44, 105.20 and 56.85 is: 84.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.44 : 105.20 = 56.85 : x
  2. Step 2: Convert to fraction form
    70.44/105.20 = 56.85/x
  3. Step 3: Cross multiply
    70.44x = 105.20 × 56.85
  4. Step 4: Simplify right side
    70.44x = 5,980.34
  5. Step 5: Solve for x
    x = 5,980.34/70.44
  6. Step 6: Final answer
    x = 84.90

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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.