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Finding the Fourth Proportional to 211.06, 316.68 and 81.10

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Solution

The fourth proportional to 211.06, 316.68 and 81.10 is: 121.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.06 : 316.68 = 81.10 : x
  2. Step 2: Convert to fraction form
    211.06/316.68 = 81.10/x
  3. Step 3: Cross multiply
    211.06x = 316.68 × 81.10
  4. Step 4: Simplify right side
    211.06x = 25,682.75
  5. Step 5: Solve for x
    x = 25,682.75/211.06
  6. Step 6: Final answer
    x = 121.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.