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Finding the Fourth Proportional to 211.09, 316.60 and 74.14

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Solution

The fourth proportional to 211.09, 316.60 and 74.14 is: 111.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.09 : 316.60 = 74.14 : x
  2. Step 2: Convert to fraction form
    211.09/316.60 = 74.14/x
  3. Step 3: Cross multiply
    211.09x = 316.60 × 74.14
  4. Step 4: Simplify right side
    211.09x = 23,472.72
  5. Step 5: Solve for x
    x = 23,472.72/211.09
  6. Step 6: Final answer
    x = 111.20

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Why These Related Problems?

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