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Finding the Fourth Proportional to 153.60, 211.96 and 83.66

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Solution

The fourth proportional to 153.60, 211.96 and 83.66 is: 115.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.60 : 211.96 = 83.66 : x
  2. Step 2: Convert to fraction form
    153.60/211.96 = 83.66/x
  3. Step 3: Cross multiply
    153.60x = 211.96 × 83.66
  4. Step 4: Simplify right side
    153.60x = 17,731.62
  5. Step 5: Solve for x
    x = 17,731.62/153.60
  6. Step 6: Final answer
    x = 115.44

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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.