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Finding the Fourth Proportional to 114.23, 170.53 and 105.78

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Solution

The fourth proportional to 114.23, 170.53 and 105.78 is: 157.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.23 : 170.53 = 105.78 : x
  2. Step 2: Convert to fraction form
    114.23/170.53 = 105.78/x
  3. Step 3: Cross multiply
    114.23x = 170.53 × 105.78
  4. Step 4: Simplify right side
    114.23x = 18,039.04
  5. Step 5: Solve for x
    x = 18,039.04/114.23
  6. Step 6: Final answer
    x = 157.92

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.