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Finding the Fourth Proportional to 114.75, 172.16 and 53.90

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Solution

The fourth proportional to 114.75, 172.16 and 53.90 is: 80.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.75 : 172.16 = 53.90 : x
  2. Step 2: Convert to fraction form
    114.75/172.16 = 53.90/x
  3. Step 3: Cross multiply
    114.75x = 172.16 × 53.90
  4. Step 4: Simplify right side
    114.75x = 9,278.29
  5. Step 5: Solve for x
    x = 9,278.29/114.75
  6. Step 6: Final answer
    x = 80.86

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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.