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Finding the Fourth Proportional to 107.90, 149.07 and 99.26

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Solution

The fourth proportional to 107.90, 149.07 and 99.26 is: 137.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.90 : 149.07 = 99.26 : x
  2. Step 2: Convert to fraction form
    107.90/149.07 = 99.26/x
  3. Step 3: Cross multiply
    107.90x = 149.07 × 99.26
  4. Step 4: Simplify right side
    107.90x = 14,796.69
  5. Step 5: Solve for x
    x = 14,796.69/107.90
  6. Step 6: Final answer
    x = 137.13

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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.