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Finding the Fourth Proportional to 153.71, 211.94 and 122.60

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Solution

The fourth proportional to 153.71, 211.94 and 122.60 is: 169.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.71 : 211.94 = 122.60 : x
  2. Step 2: Convert to fraction form
    153.71/211.94 = 122.60/x
  3. Step 3: Cross multiply
    153.71x = 211.94 × 122.60
  4. Step 4: Simplify right side
    153.71x = 25,983.43
  5. Step 5: Solve for x
    x = 25,983.43/153.71
  6. Step 6: Final answer
    x = 169.04

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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.