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Finding the Fourth Proportional to 116.34, 160.41 and 96.69

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Solution

The fourth proportional to 116.34, 160.41 and 96.69 is: 133.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.34 : 160.41 = 96.69 : x
  2. Step 2: Convert to fraction form
    116.34/160.41 = 96.69/x
  3. Step 3: Cross multiply
    116.34x = 160.41 × 96.69
  4. Step 4: Simplify right side
    116.34x = 15,510.71
  5. Step 5: Solve for x
    x = 15,510.71/116.34
  6. Step 6: Final answer
    x = 133.32

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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.