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Finding the Fourth Proportional to 116.19, 160.36 and 76.88

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Solution

The fourth proportional to 116.19, 160.36 and 76.88 is: 106.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.19 : 160.36 = 76.88 : x
  2. Step 2: Convert to fraction form
    116.19/160.36 = 76.88/x
  3. Step 3: Cross multiply
    116.19x = 160.36 × 76.88
  4. Step 4: Simplify right side
    116.19x = 12,328.69
  5. Step 5: Solve for x
    x = 12,328.69/116.19
  6. Step 6: Final answer
    x = 106.11

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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.