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Finding the Fourth Proportional to 114.62, 172.17 and 68.99

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Solution

The fourth proportional to 114.62, 172.17 and 68.99 is: 103.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.62 : 172.17 = 68.99 : x
  2. Step 2: Convert to fraction form
    114.62/172.17 = 68.99/x
  3. Step 3: Cross multiply
    114.62x = 172.17 × 68.99
  4. Step 4: Simplify right side
    114.62x = 11,877.15
  5. Step 5: Solve for x
    x = 11,877.15/114.62
  6. Step 6: Final answer
    x = 103.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.