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Finding the Fourth Proportional to 116.70, 161.02 and 67.56

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Solution

The fourth proportional to 116.70, 161.02 and 67.56 is: 93.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.70 : 161.02 = 67.56 : x
  2. Step 2: Convert to fraction form
    116.70/161.02 = 67.56/x
  3. Step 3: Cross multiply
    116.70x = 161.02 × 67.56
  4. Step 4: Simplify right side
    116.70x = 10,878.51
  5. Step 5: Solve for x
    x = 10,878.51/116.70
  6. Step 6: Final answer
    x = 93.22

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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.