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Finding the Fourth Proportional to 116.19, 160.25 and 79.35

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Solution

The fourth proportional to 116.19, 160.25 and 79.35 is: 109.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.19 : 160.25 = 79.35 : x
  2. Step 2: Convert to fraction form
    116.19/160.25 = 79.35/x
  3. Step 3: Cross multiply
    116.19x = 160.25 × 79.35
  4. Step 4: Simplify right side
    116.19x = 12,715.44
  5. Step 5: Solve for x
    x = 12,715.44/116.19
  6. Step 6: Final answer
    x = 109.44

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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.