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Finding the Fourth Proportional to 105.09, 144.72 and 90.22

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Solution

The fourth proportional to 105.09, 144.72 and 90.22 is: 124.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.09 : 144.72 = 90.22 : x
  2. Step 2: Convert to fraction form
    105.09/144.72 = 90.22/x
  3. Step 3: Cross multiply
    105.09x = 144.72 × 90.22
  4. Step 4: Simplify right side
    105.09x = 13,056.45
  5. Step 5: Solve for x
    x = 13,056.45/105.09
  6. Step 6: Final answer
    x = 124.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.