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Finding the Fourth Proportional to 126.93, 190.61 and 117.46

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Solution

The fourth proportional to 126.93, 190.61 and 117.46 is: 176.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.93 : 190.61 = 117.46 : x
  2. Step 2: Convert to fraction form
    126.93/190.61 = 117.46/x
  3. Step 3: Cross multiply
    126.93x = 190.61 × 117.46
  4. Step 4: Simplify right side
    126.93x = 22,389.05
  5. Step 5: Solve for x
    x = 22,389.05/126.93
  6. Step 6: Final answer
    x = 176.39

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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.