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Finding the Fourth Proportional to 126.07, 188.95 and 96.76

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Solution

The fourth proportional to 126.07, 188.95 and 96.76 is: 145.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.07 : 188.95 = 96.76 : x
  2. Step 2: Convert to fraction form
    126.07/188.95 = 96.76/x
  3. Step 3: Cross multiply
    126.07x = 188.95 × 96.76
  4. Step 4: Simplify right side
    126.07x = 18,282.98
  5. Step 5: Solve for x
    x = 18,282.98/126.07
  6. Step 6: Final answer
    x = 145.02

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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.