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Finding the Fourth Proportional to 192.04, 288.10 and 55.12

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Solution

The fourth proportional to 192.04, 288.10 and 55.12 is: 82.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.04 : 288.10 = 55.12 : x
  2. Step 2: Convert to fraction form
    192.04/288.10 = 55.12/x
  3. Step 3: Cross multiply
    192.04x = 288.10 × 55.12
  4. Step 4: Simplify right side
    192.04x = 15,880.07
  5. Step 5: Solve for x
    x = 15,880.07/192.04
  6. Step 6: Final answer
    x = 82.69

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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.