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Finding the Fourth Proportional to 105.26, 157.26 and 104.66

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Solution

The fourth proportional to 105.26, 157.26 and 104.66 is: 156.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.26 : 157.26 = 104.66 : x
  2. Step 2: Convert to fraction form
    105.26/157.26 = 104.66/x
  3. Step 3: Cross multiply
    105.26x = 157.26 × 104.66
  4. Step 4: Simplify right side
    105.26x = 16,458.31
  5. Step 5: Solve for x
    x = 16,458.31/105.26
  6. Step 6: Final answer
    x = 156.36

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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.