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Finding the Fourth Proportional to 114.97, 172.34 and 57.16

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Solution

The fourth proportional to 114.97, 172.34 and 57.16 is: 85.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.97 : 172.34 = 57.16 : x
  2. Step 2: Convert to fraction form
    114.97/172.34 = 57.16/x
  3. Step 3: Cross multiply
    114.97x = 172.34 × 57.16
  4. Step 4: Simplify right side
    114.97x = 9,850.45
  5. Step 5: Solve for x
    x = 9,850.45/114.97
  6. Step 6: Final answer
    x = 85.68

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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.