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Finding the Fourth Proportional to 116.02, 173.08 and 106.91

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Solution

The fourth proportional to 116.02, 173.08 and 106.91 is: 159.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.02 : 173.08 = 106.91 : x
  2. Step 2: Convert to fraction form
    116.02/173.08 = 106.91/x
  3. Step 3: Cross multiply
    116.02x = 173.08 × 106.91
  4. Step 4: Simplify right side
    116.02x = 18,503.05
  5. Step 5: Solve for x
    x = 18,503.05/116.02
  6. Step 6: Final answer
    x = 159.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.