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Finding the Fourth Proportional to 126.73, 175.23 and 110.53

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Solution

The fourth proportional to 126.73, 175.23 and 110.53 is: 152.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.73 : 175.23 = 110.53 : x
  2. Step 2: Convert to fraction form
    126.73/175.23 = 110.53/x
  3. Step 3: Cross multiply
    126.73x = 175.23 × 110.53
  4. Step 4: Simplify right side
    126.73x = 19,368.17
  5. Step 5: Solve for x
    x = 19,368.17/126.73
  6. Step 6: Final answer
    x = 152.83

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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.