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Finding the Fourth Proportional to 126.21, 189.15 and 101.91

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Solution

The fourth proportional to 126.21, 189.15 and 101.91 is: 152.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.21 : 189.15 = 101.91 : x
  2. Step 2: Convert to fraction form
    126.21/189.15 = 101.91/x
  3. Step 3: Cross multiply
    126.21x = 189.15 × 101.91
  4. Step 4: Simplify right side
    126.21x = 19,276.28
  5. Step 5: Solve for x
    x = 19,276.28/126.21
  6. Step 6: Final answer
    x = 152.73

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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.