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Finding the Fourth Proportional to 157.82, 217.82 and 121.03

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Solution

The fourth proportional to 157.82, 217.82 and 121.03 is: 167.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.82 : 217.82 = 121.03 : x
  2. Step 2: Convert to fraction form
    157.82/217.82 = 121.03/x
  3. Step 3: Cross multiply
    157.82x = 217.82 × 121.03
  4. Step 4: Simplify right side
    157.82x = 26,362.51
  5. Step 5: Solve for x
    x = 26,362.51/157.82
  6. Step 6: Final answer
    x = 167.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.