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Finding the Fourth Proportional to 126.83, 174.59 and 105.87

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Solution

The fourth proportional to 126.83, 174.59 and 105.87 is: 145.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.83 : 174.59 = 105.87 : x
  2. Step 2: Convert to fraction form
    126.83/174.59 = 105.87/x
  3. Step 3: Cross multiply
    126.83x = 174.59 × 105.87
  4. Step 4: Simplify right side
    126.83x = 18,483.31
  5. Step 5: Solve for x
    x = 18,483.31/126.83
  6. Step 6: Final answer
    x = 145.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.