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Finding the Fourth Proportional to 126.50, 174.45 and 113.59

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Solution

The fourth proportional to 126.50, 174.45 and 113.59 is: 156.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.50 : 174.45 = 113.59 : x
  2. Step 2: Convert to fraction form
    126.50/174.45 = 113.59/x
  3. Step 3: Cross multiply
    126.50x = 174.45 × 113.59
  4. Step 4: Simplify right side
    126.50x = 19,815.78
  5. Step 5: Solve for x
    x = 19,815.78/126.50
  6. Step 6: Final answer
    x = 156.65

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