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Finding the Fourth Proportional to 126.66, 173.85 and 112.53

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Solution

The fourth proportional to 126.66, 173.85 and 112.53 is: 154.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.66 : 173.85 = 112.53 : x
  2. Step 2: Convert to fraction form
    126.66/173.85 = 112.53/x
  3. Step 3: Cross multiply
    126.66x = 173.85 × 112.53
  4. Step 4: Simplify right side
    126.66x = 19,563.34
  5. Step 5: Solve for x
    x = 19,563.34/126.66
  6. Step 6: Final answer
    x = 154.46

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.