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Finding the Fourth Proportional to 105.03, 144.09 and 90.45

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Solution

The fourth proportional to 105.03, 144.09 and 90.45 is: 124.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.03 : 144.09 = 90.45 : x
  2. Step 2: Convert to fraction form
    105.03/144.09 = 90.45/x
  3. Step 3: Cross multiply
    105.03x = 144.09 × 90.45
  4. Step 4: Simplify right side
    105.03x = 13,032.94
  5. Step 5: Solve for x
    x = 13,032.94/105.03
  6. Step 6: Final answer
    x = 124.09

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.