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Finding the Fourth Proportional to 105.48, 157.98 and 69.22

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Solution

The fourth proportional to 105.48, 157.98 and 69.22 is: 103.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.48 : 157.98 = 69.22 : x
  2. Step 2: Convert to fraction form
    105.48/157.98 = 69.22/x
  3. Step 3: Cross multiply
    105.48x = 157.98 × 69.22
  4. Step 4: Simplify right side
    105.48x = 10,935.38
  5. Step 5: Solve for x
    x = 10,935.38/105.48
  6. Step 6: Final answer
    x = 103.67

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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.