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Finding the Fourth Proportional to 114.89, 172.16 and 53.97

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Solution

The fourth proportional to 114.89, 172.16 and 53.97 is: 80.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.89 : 172.16 = 53.97 : x
  2. Step 2: Convert to fraction form
    114.89/172.16 = 53.97/x
  3. Step 3: Cross multiply
    114.89x = 172.16 × 53.97
  4. Step 4: Simplify right side
    114.89x = 9,290.76
  5. Step 5: Solve for x
    x = 9,290.76/114.89
  6. Step 6: Final answer
    x = 80.87

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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.