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Finding the Fourth Proportional to 107.25, 159.60 and 107.07

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Solution

The fourth proportional to 107.25, 159.60 and 107.07 is: 159.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.25 : 159.60 = 107.07 : x
  2. Step 2: Convert to fraction form
    107.25/159.60 = 107.07/x
  3. Step 3: Cross multiply
    107.25x = 159.60 × 107.07
  4. Step 4: Simplify right side
    107.25x = 17,088.37
  5. Step 5: Solve for x
    x = 17,088.37/107.25
  6. Step 6: Final answer
    x = 159.33

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.