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Finding the Fourth Proportional to 192.55, 288.60 and 89.77

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Solution

The fourth proportional to 192.55, 288.60 and 89.77 is: 134.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.55 : 288.60 = 89.77 : x
  2. Step 2: Convert to fraction form
    192.55/288.60 = 89.77/x
  3. Step 3: Cross multiply
    192.55x = 288.60 × 89.77
  4. Step 4: Simplify right side
    192.55x = 25,907.62
  5. Step 5: Solve for x
    x = 25,907.62/192.55
  6. Step 6: Final answer
    x = 134.55

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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.