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Finding the Fourth Proportional to 126.21, 189.27 and 49.16

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Solution

The fourth proportional to 126.21, 189.27 and 49.16 is: 73.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.21 : 189.27 = 49.16 : x
  2. Step 2: Convert to fraction form
    126.21/189.27 = 49.16/x
  3. Step 3: Cross multiply
    126.21x = 189.27 × 49.16
  4. Step 4: Simplify right side
    126.21x = 9,304.51
  5. Step 5: Solve for x
    x = 9,304.51/126.21
  6. Step 6: Final answer
    x = 73.72

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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.