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Finding the Fourth Proportional to 126.47, 189.31 and 97.50

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Solution

The fourth proportional to 126.47, 189.31 and 97.50 is: 145.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.47 : 189.31 = 97.50 : x
  2. Step 2: Convert to fraction form
    126.47/189.31 = 97.50/x
  3. Step 3: Cross multiply
    126.47x = 189.31 × 97.50
  4. Step 4: Simplify right side
    126.47x = 18,458.19
  5. Step 5: Solve for x
    x = 18,458.19/126.47
  6. Step 6: Final answer
    x = 145.95

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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.