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Finding the Fourth Proportional to 107.94, 161.07 and 95.80

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Solution

The fourth proportional to 107.94, 161.07 and 95.80 is: 142.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.94 : 161.07 = 95.80 : x
  2. Step 2: Convert to fraction form
    107.94/161.07 = 95.80/x
  3. Step 3: Cross multiply
    107.94x = 161.07 × 95.80
  4. Step 4: Simplify right side
    107.94x = 15,430.51
  5. Step 5: Solve for x
    x = 15,430.51/107.94
  6. Step 6: Final answer
    x = 142.95

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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.