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Finding the Fourth Proportional to 189.93, 262.08 and 107.03

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Solution

The fourth proportional to 189.93, 262.08 and 107.03 is: 147.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.93 : 262.08 = 107.03 : x
  2. Step 2: Convert to fraction form
    189.93/262.08 = 107.03/x
  3. Step 3: Cross multiply
    189.93x = 262.08 × 107.03
  4. Step 4: Simplify right side
    189.93x = 28,049.11
  5. Step 5: Solve for x
    x = 28,049.11/189.93
  6. Step 6: Final answer
    x = 147.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.