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Finding the Fourth Proportional to 105.97, 157.76 and 104.80

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Solution

The fourth proportional to 105.97, 157.76 and 104.80 is: 156.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.97 : 157.76 = 104.80 : x
  2. Step 2: Convert to fraction form
    105.97/157.76 = 104.80/x
  3. Step 3: Cross multiply
    105.97x = 157.76 × 104.80
  4. Step 4: Simplify right side
    105.97x = 16,532.33
  5. Step 5: Solve for x
    x = 16,532.33/105.97
  6. Step 6: Final answer
    x = 156.01

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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.