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Finding the Fourth Proportional to 212.42, 318.60 and 75.45

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Solution

The fourth proportional to 212.42, 318.60 and 75.45 is: 113.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.42 : 318.60 = 75.45 : x
  2. Step 2: Convert to fraction form
    212.42/318.60 = 75.45/x
  3. Step 3: Cross multiply
    212.42x = 318.60 × 75.45
  4. Step 4: Simplify right side
    212.42x = 24,036.88
  5. Step 5: Solve for x
    x = 24,036.88/212.42
  6. Step 6: Final answer
    x = 113.16

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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.