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Finding the Fourth Proportional to 118.72, 164.60 and 114.72

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Solution

The fourth proportional to 118.72, 164.60 and 114.72 is: 159.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.72 : 164.60 = 114.72 : x
  2. Step 2: Convert to fraction form
    118.72/164.60 = 114.72/x
  3. Step 3: Cross multiply
    118.72x = 164.60 × 114.72
  4. Step 4: Simplify right side
    118.72x = 18,882.91
  5. Step 5: Solve for x
    x = 18,882.91/118.72
  6. Step 6: Final answer
    x = 159.05

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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.