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Finding the Fourth Proportional to 212.55, 318.74 and 75.57

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Solution

The fourth proportional to 212.55, 318.74 and 75.57 is: 113.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.55 : 318.74 = 75.57 : x
  2. Step 2: Convert to fraction form
    212.55/318.74 = 75.57/x
  3. Step 3: Cross multiply
    212.55x = 318.74 × 75.57
  4. Step 4: Simplify right side
    212.55x = 24,087.18
  5. Step 5: Solve for x
    x = 24,087.18/212.55
  6. Step 6: Final answer
    x = 113.32

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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.