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Finding the Fourth Proportional to 70.64, 105.72 and 51.42

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Solution

The fourth proportional to 70.64, 105.72 and 51.42 is: 76.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.64 : 105.72 = 51.42 : x
  2. Step 2: Convert to fraction form
    70.64/105.72 = 51.42/x
  3. Step 3: Cross multiply
    70.64x = 105.72 × 51.42
  4. Step 4: Simplify right side
    70.64x = 5,436.12
  5. Step 5: Solve for x
    x = 5,436.12/70.64
  6. Step 6: Final answer
    x = 76.96

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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.