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Finding the Fourth Proportional to 157.84, 217.72 and 121

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Solution

The fourth proportional to 157.84, 217.72 and 121 is: 166.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.84 : 217.72 = 121 : x
  2. Step 2: Convert to fraction form
    157.84/217.72 = 121/x
  3. Step 3: Cross multiply
    157.84x = 217.72 × 121
  4. Step 4: Simplify right side
    157.84x = 26,344.12
  5. Step 5: Solve for x
    x = 26,344.12/157.84
  6. Step 6: Final answer
    x = 166.90

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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.