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Finding the Fourth Proportional to 116.50, 173.95 and 96.16

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Solution

The fourth proportional to 116.50, 173.95 and 96.16 is: 143.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.50 : 173.95 = 96.16 : x
  2. Step 2: Convert to fraction form
    116.50/173.95 = 96.16/x
  3. Step 3: Cross multiply
    116.50x = 173.95 × 96.16
  4. Step 4: Simplify right side
    116.50x = 16,727.03
  5. Step 5: Solve for x
    x = 16,727.03/116.50
  6. Step 6: Final answer
    x = 143.58

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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.