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Finding the Fourth Proportional to 116.68, 160.98 and 79.78

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Solution

The fourth proportional to 116.68, 160.98 and 79.78 is: 110.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.68 : 160.98 = 79.78 : x
  2. Step 2: Convert to fraction form
    116.68/160.98 = 79.78/x
  3. Step 3: Cross multiply
    116.68x = 160.98 × 79.78
  4. Step 4: Simplify right side
    116.68x = 12,842.98
  5. Step 5: Solve for x
    x = 12,842.98/116.68
  6. Step 6: Final answer
    x = 110.07

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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.