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Finding the Fourth Proportional to 126, 173.96 and 118.25

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Solution

The fourth proportional to 126, 173.96 and 118.25 is: 163.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    126 : 173.96 = 118.25 : x
  2. Step 2: Convert to fraction form
    126/173.96 = 118.25/x
  3. Step 3: Cross multiply
    126x = 173.96 × 118.25
  4. Step 4: Simplify right side
    126x = 20,570.77
  5. Step 5: Solve for x
    x = 20,570.77/126
  6. Step 6: Final answer
    x = 163.26

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1.5x scale

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.