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Finding the Fourth Proportional to 107.75, 161.52 and 64.43

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Solution

The fourth proportional to 107.75, 161.52 and 64.43 is: 96.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.75 : 161.52 = 64.43 : x
  2. Step 2: Convert to fraction form
    107.75/161.52 = 64.43/x
  3. Step 3: Cross multiply
    107.75x = 161.52 × 64.43
  4. Step 4: Simplify right side
    107.75x = 10,405.93
  5. Step 5: Solve for x
    x = 10,405.93/107.75
  6. Step 6: Final answer
    x = 96.58

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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.