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Finding the Fourth Proportional to 105.69, 158.53 and 28.65

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Solution

The fourth proportional to 105.69, 158.53 and 28.65 is: 42.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.69 : 158.53 = 28.65 : x
  2. Step 2: Convert to fraction form
    105.69/158.53 = 28.65/x
  3. Step 3: Cross multiply
    105.69x = 158.53 × 28.65
  4. Step 4: Simplify right side
    105.69x = 4,542.07
  5. Step 5: Solve for x
    x = 4,542.07/105.69
  6. Step 6: Final answer
    x = 42.98

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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.