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Finding the Fourth Proportional to 105.08, 144.61 and 90.50

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Solution

The fourth proportional to 105.08, 144.61 and 90.50 is: 124.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.08 : 144.61 = 90.50 : x
  2. Step 2: Convert to fraction form
    105.08/144.61 = 90.50/x
  3. Step 3: Cross multiply
    105.08x = 144.61 × 90.50
  4. Step 4: Simplify right side
    105.08x = 13,086.26
  5. Step 5: Solve for x
    x = 13,086.26/105.08
  6. Step 6: Final answer
    x = 124.54

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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.