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Finding the Fourth Proportional to 211.38, 317.09 and 57.32

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Solution

The fourth proportional to 211.38, 317.09 and 57.32 is: 85.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.38 : 317.09 = 57.32 : x
  2. Step 2: Convert to fraction form
    211.38/317.09 = 57.32/x
  3. Step 3: Cross multiply
    211.38x = 317.09 × 57.32
  4. Step 4: Simplify right side
    211.38x = 18,174.01
  5. Step 5: Solve for x
    x = 18,174.01/211.38
  6. Step 6: Final answer
    x = 85.98

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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.