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Finding the Fourth Proportional to 126.42, 189.36 and 65.42

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Solution

The fourth proportional to 126.42, 189.36 and 65.42 is: 97.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.42 : 189.36 = 65.42 : x
  2. Step 2: Convert to fraction form
    126.42/189.36 = 65.42/x
  3. Step 3: Cross multiply
    126.42x = 189.36 × 65.42
  4. Step 4: Simplify right side
    126.42x = 12,387.93
  5. Step 5: Solve for x
    x = 12,387.93/126.42
  6. Step 6: Final answer
    x = 97.99

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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.