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Finding the Fourth Proportional to 126.14, 189.51 and 72.07

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Solution

The fourth proportional to 126.14, 189.51 and 72.07 is: 108.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.14 : 189.51 = 72.07 : x
  2. Step 2: Convert to fraction form
    126.14/189.51 = 72.07/x
  3. Step 3: Cross multiply
    126.14x = 189.51 × 72.07
  4. Step 4: Simplify right side
    126.14x = 13,657.24
  5. Step 5: Solve for x
    x = 13,657.24/126.14
  6. Step 6: Final answer
    x = 108.27

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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.