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Finding the Fourth Proportional to 105.13, 144.72 and 91.23

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Solution

The fourth proportional to 105.13, 144.72 and 91.23 is: 125.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.13 : 144.72 = 91.23 : x
  2. Step 2: Convert to fraction form
    105.13/144.72 = 91.23/x
  3. Step 3: Cross multiply
    105.13x = 144.72 × 91.23
  4. Step 4: Simplify right side
    105.13x = 13,202.81
  5. Step 5: Solve for x
    x = 13,202.81/105.13
  6. Step 6: Final answer
    x = 125.59

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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.