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Finding the Fourth Proportional to 118.02, 161.93 and 114.96

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Solution

The fourth proportional to 118.02, 161.93 and 114.96 is: 157.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.02 : 161.93 = 114.96 : x
  2. Step 2: Convert to fraction form
    118.02/161.93 = 114.96/x
  3. Step 3: Cross multiply
    118.02x = 161.93 × 114.96
  4. Step 4: Simplify right side
    118.02x = 18,615.47
  5. Step 5: Solve for x
    x = 18,615.47/118.02
  6. Step 6: Final answer
    x = 157.73

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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.