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Finding the Fourth Proportional to 116.45, 160.71 and 67.33

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Solution

The fourth proportional to 116.45, 160.71 and 67.33 is: 92.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.45 : 160.71 = 67.33 : x
  2. Step 2: Convert to fraction form
    116.45/160.71 = 67.33/x
  3. Step 3: Cross multiply
    116.45x = 160.71 × 67.33
  4. Step 4: Simplify right side
    116.45x = 10,820.55
  5. Step 5: Solve for x
    x = 10,820.55/116.45
  6. Step 6: Final answer
    x = 92.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.