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Finding the Fourth Proportional to 114.28, 172.39 and 107.62

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Solution

The fourth proportional to 114.28, 172.39 and 107.62 is: 162.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.28 : 172.39 = 107.62 : x
  2. Step 2: Convert to fraction form
    114.28/172.39 = 107.62/x
  3. Step 3: Cross multiply
    114.28x = 172.39 × 107.62
  4. Step 4: Simplify right side
    114.28x = 18,552.61
  5. Step 5: Solve for x
    x = 18,552.61/114.28
  6. Step 6: Final answer
    x = 162.34

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.