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Finding the Fourth Proportional to 107.32, 161.28 and 106.74

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Solution

The fourth proportional to 107.32, 161.28 and 106.74 is: 160.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.32 : 161.28 = 106.74 : x
  2. Step 2: Convert to fraction form
    107.32/161.28 = 106.74/x
  3. Step 3: Cross multiply
    107.32x = 161.28 × 106.74
  4. Step 4: Simplify right side
    107.32x = 17,215.03
  5. Step 5: Solve for x
    x = 17,215.03/107.32
  6. Step 6: Final answer
    x = 160.41

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