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Finding the Fourth Proportional to 116.54, 160.80 and 69.91

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Solution

The fourth proportional to 116.54, 160.80 and 69.91 is: 96.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.54 : 160.80 = 69.91 : x
  2. Step 2: Convert to fraction form
    116.54/160.80 = 69.91/x
  3. Step 3: Cross multiply
    116.54x = 160.80 × 69.91
  4. Step 4: Simplify right side
    116.54x = 11,240.86
  5. Step 5: Solve for x
    x = 11,240.86/116.54
  6. Step 6: Final answer
    x = 96.46

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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.