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Finding the Fourth Proportional to 212.45, 318.47 and 68.06

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Solution

The fourth proportional to 212.45, 318.47 and 68.06 is: 102.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.45 : 318.47 = 68.06 : x
  2. Step 2: Convert to fraction form
    212.45/318.47 = 68.06/x
  3. Step 3: Cross multiply
    212.45x = 318.47 × 68.06
  4. Step 4: Simplify right side
    212.45x = 21,675.52
  5. Step 5: Solve for x
    x = 21,675.52/212.45
  6. Step 6: Final answer
    x = 102.03

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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.