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Finding the Fourth Proportional to 192.52, 288.58 and 96.12

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Solution

The fourth proportional to 192.52, 288.58 and 96.12 is: 144.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.52 : 288.58 = 96.12 : x
  2. Step 2: Convert to fraction form
    192.52/288.58 = 96.12/x
  3. Step 3: Cross multiply
    192.52x = 288.58 × 96.12
  4. Step 4: Simplify right side
    192.52x = 27,738.31
  5. Step 5: Solve for x
    x = 27,738.31/192.52
  6. Step 6: Final answer
    x = 144.08

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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.