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Finding the Fourth Proportional to 126.58, 174.70 and 105.82

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Solution

The fourth proportional to 126.58, 174.70 and 105.82 is: 146.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.58 : 174.70 = 105.82 : x
  2. Step 2: Convert to fraction form
    126.58/174.70 = 105.82/x
  3. Step 3: Cross multiply
    126.58x = 174.70 × 105.82
  4. Step 4: Simplify right side
    126.58x = 18,486.75
  5. Step 5: Solve for x
    x = 18,486.75/126.58
  6. Step 6: Final answer
    x = 146.05

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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.