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Finding the Fourth Proportional to 70.63, 105.96 and 51.33

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Solution

The fourth proportional to 70.63, 105.96 and 51.33 is: 77.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.63 : 105.96 = 51.33 : x
  2. Step 2: Convert to fraction form
    70.63/105.96 = 51.33/x
  3. Step 3: Cross multiply
    70.63x = 105.96 × 51.33
  4. Step 4: Simplify right side
    70.63x = 5,438.93
  5. Step 5: Solve for x
    x = 5,438.93/70.63
  6. Step 6: Final answer
    x = 77.01

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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.