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Finding the Fourth Proportional to 191.99, 288.02 and 55.03

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Solution

The fourth proportional to 191.99, 288.02 and 55.03 is: 82.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.99 : 288.02 = 55.03 : x
  2. Step 2: Convert to fraction form
    191.99/288.02 = 55.03/x
  3. Step 3: Cross multiply
    191.99x = 288.02 × 55.03
  4. Step 4: Simplify right side
    191.99x = 15,849.74
  5. Step 5: Solve for x
    x = 15,849.74/191.99
  6. Step 6: Final answer
    x = 82.56

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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.