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Finding the Fourth Proportional to 116.48, 160.68 and 77.68

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Solution

The fourth proportional to 116.48, 160.68 and 77.68 is: 107.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.48 : 160.68 = 77.68 : x
  2. Step 2: Convert to fraction form
    116.48/160.68 = 77.68/x
  3. Step 3: Cross multiply
    116.48x = 160.68 × 77.68
  4. Step 4: Simplify right side
    116.48x = 12,481.62
  5. Step 5: Solve for x
    x = 12,481.62/116.48
  6. Step 6: Final answer
    x = 107.16

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Why These Related Problems?

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