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Finding the Fourth Proportional to 107.56, 161.15 and 77.07

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Solution

The fourth proportional to 107.56, 161.15 and 77.07 is: 115.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.56 : 161.15 = 77.07 : x
  2. Step 2: Convert to fraction form
    107.56/161.15 = 77.07/x
  3. Step 3: Cross multiply
    107.56x = 161.15 × 77.07
  4. Step 4: Simplify right side
    107.56x = 12,419.83
  5. Step 5: Solve for x
    x = 12,419.83/107.56
  6. Step 6: Final answer
    x = 115.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.