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Finding the Fourth Proportional to 107.89, 148.90 and 89.44

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Solution

The fourth proportional to 107.89, 148.90 and 89.44 is: 123.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.89 : 148.90 = 89.44 : x
  2. Step 2: Convert to fraction form
    107.89/148.90 = 89.44/x
  3. Step 3: Cross multiply
    107.89x = 148.90 × 89.44
  4. Step 4: Simplify right side
    107.89x = 13,317.62
  5. Step 5: Solve for x
    x = 13,317.62/107.89
  6. Step 6: Final answer
    x = 123.44

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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.