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Finding the Fourth Proportional to 116.52, 160.86 and 79.74

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Solution

The fourth proportional to 116.52, 160.86 and 79.74 is: 110.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.52 : 160.86 = 79.74 : x
  2. Step 2: Convert to fraction form
    116.52/160.86 = 79.74/x
  3. Step 3: Cross multiply
    116.52x = 160.86 × 79.74
  4. Step 4: Simplify right side
    116.52x = 12,826.98
  5. Step 5: Solve for x
    x = 12,826.98/116.52
  6. Step 6: Final answer
    x = 110.08

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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.