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Finding the Fourth Proportional to 168.75, 253.19 and 77.42

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Solution

The fourth proportional to 168.75, 253.19 and 77.42 is: 116.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.75 : 253.19 = 77.42 : x
  2. Step 2: Convert to fraction form
    168.75/253.19 = 77.42/x
  3. Step 3: Cross multiply
    168.75x = 253.19 × 77.42
  4. Step 4: Simplify right side
    168.75x = 19,602.80
  5. Step 5: Solve for x
    x = 19,602.80/168.75
  6. Step 6: Final answer
    x = 116.16

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