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Finding the Fourth Proportional to 107.91, 161.15 and 99.54

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Solution

The fourth proportional to 107.91, 161.15 and 99.54 is: 148.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.91 : 161.15 = 99.54 : x
  2. Step 2: Convert to fraction form
    107.91/161.15 = 99.54/x
  3. Step 3: Cross multiply
    107.91x = 161.15 × 99.54
  4. Step 4: Simplify right side
    107.91x = 16,040.37
  5. Step 5: Solve for x
    x = 16,040.37/107.91
  6. Step 6: Final answer
    x = 148.65

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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.