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Finding the Fourth Proportional to 212.54, 318.80 and 75.60

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Solution

The fourth proportional to 212.54, 318.80 and 75.60 is: 113.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.54 : 318.80 = 75.60 : x
  2. Step 2: Convert to fraction form
    212.54/318.80 = 75.60/x
  3. Step 3: Cross multiply
    212.54x = 318.80 × 75.60
  4. Step 4: Simplify right side
    212.54x = 24,101.28
  5. Step 5: Solve for x
    x = 24,101.28/212.54
  6. Step 6: Final answer
    x = 113.40

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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.