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Finding the Fourth Proportional to 114.73, 157.46 and 111.69

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Solution

The fourth proportional to 114.73, 157.46 and 111.69 is: 153.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.73 : 157.46 = 111.69 : x
  2. Step 2: Convert to fraction form
    114.73/157.46 = 111.69/x
  3. Step 3: Cross multiply
    114.73x = 157.46 × 111.69
  4. Step 4: Simplify right side
    114.73x = 17,586.15
  5. Step 5: Solve for x
    x = 17,586.15/114.73
  6. Step 6: Final answer
    x = 153.29

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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.