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Finding the Fourth Proportional to 116.05, 160.02 and 74.60

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Solution

The fourth proportional to 116.05, 160.02 and 74.60 is: 102.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.05 : 160.02 = 74.60 : x
  2. Step 2: Convert to fraction form
    116.05/160.02 = 74.60/x
  3. Step 3: Cross multiply
    116.05x = 160.02 × 74.60
  4. Step 4: Simplify right side
    116.05x = 11,937.49
  5. Step 5: Solve for x
    x = 11,937.49/116.05
  6. Step 6: Final answer
    x = 102.87

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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.