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Finding the Fourth Proportional to 114.72, 159.35 and 111.48

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Solution

The fourth proportional to 114.72, 159.35 and 111.48 is: 154.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.72 : 159.35 = 111.48 : x
  2. Step 2: Convert to fraction form
    114.72/159.35 = 111.48/x
  3. Step 3: Cross multiply
    114.72x = 159.35 × 111.48
  4. Step 4: Simplify right side
    114.72x = 17,765.15
  5. Step 5: Solve for x
    x = 17,765.15/114.72
  6. Step 6: Final answer
    x = 154.85

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.