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Finding the Fourth Proportional to 212.16, 317.97 and 103.89

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Solution

The fourth proportional to 212.16, 317.97 and 103.89 is: 155.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.16 : 317.97 = 103.89 : x
  2. Step 2: Convert to fraction form
    212.16/317.97 = 103.89/x
  3. Step 3: Cross multiply
    212.16x = 317.97 × 103.89
  4. Step 4: Simplify right side
    212.16x = 33,033.90
  5. Step 5: Solve for x
    x = 33,033.90/212.16
  6. Step 6: Final answer
    x = 155.70

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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.