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Finding the Fourth Proportional to 114.05, 171.29 and 68.48

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Solution

The fourth proportional to 114.05, 171.29 and 68.48 is: 102.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.05 : 171.29 = 68.48 : x
  2. Step 2: Convert to fraction form
    114.05/171.29 = 68.48/x
  3. Step 3: Cross multiply
    114.05x = 171.29 × 68.48
  4. Step 4: Simplify right side
    114.05x = 11,728.74
  5. Step 5: Solve for x
    x = 11,728.74/114.05
  6. Step 6: Final answer
    x = 102.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.