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Finding the Fourth Proportional to 70.76, 105.86 and 49.34

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Solution

The fourth proportional to 70.76, 105.86 and 49.34 is: 73.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.76 : 105.86 = 49.34 : x
  2. Step 2: Convert to fraction form
    70.76/105.86 = 49.34/x
  3. Step 3: Cross multiply
    70.76x = 105.86 × 49.34
  4. Step 4: Simplify right side
    70.76x = 5,223.13
  5. Step 5: Solve for x
    x = 5,223.13/70.76
  6. Step 6: Final answer
    x = 73.81

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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.