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Finding the Fourth Proportional to 105.22, 157.09 and 103.42

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Solution

The fourth proportional to 105.22, 157.09 and 103.42 is: 154.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.22 : 157.09 = 103.42 : x
  2. Step 2: Convert to fraction form
    105.22/157.09 = 103.42/x
  3. Step 3: Cross multiply
    105.22x = 157.09 × 103.42
  4. Step 4: Simplify right side
    105.22x = 16,246.25
  5. Step 5: Solve for x
    x = 16,246.25/105.22
  6. Step 6: Final answer
    x = 154.40

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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.