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Finding the Fourth Proportional to 105.69, 157.36 and 105.15

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Solution

The fourth proportional to 105.69, 157.36 and 105.15 is: 156.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.69 : 157.36 = 105.15 : x
  2. Step 2: Convert to fraction form
    105.69/157.36 = 105.15/x
  3. Step 3: Cross multiply
    105.69x = 157.36 × 105.15
  4. Step 4: Simplify right side
    105.69x = 16,546.14
  5. Step 5: Solve for x
    x = 16,546.14/105.69
  6. Step 6: Final answer
    x = 156.55

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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.