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Finding the Fourth Proportional to 192.57, 288.96 and 77.07

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Solution

The fourth proportional to 192.57, 288.96 and 77.07 is: 115.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.57 : 288.96 = 77.07 : x
  2. Step 2: Convert to fraction form
    192.57/288.96 = 77.07/x
  3. Step 3: Cross multiply
    192.57x = 288.96 × 77.07
  4. Step 4: Simplify right side
    192.57x = 22,268.70
  5. Step 5: Solve for x
    x = 22,268.70/192.57
  6. Step 6: Final answer
    x = 115.64

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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.