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Finding the Fourth Proportional to 213.53, 320.07 and 76.53

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Solution

The fourth proportional to 213.53, 320.07 and 76.53 is: 114.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.53 : 320.07 = 76.53 : x
  2. Step 2: Convert to fraction form
    213.53/320.07 = 76.53/x
  3. Step 3: Cross multiply
    213.53x = 320.07 × 76.53
  4. Step 4: Simplify right side
    213.53x = 24,494.96
  5. Step 5: Solve for x
    x = 24,494.96/213.53
  6. Step 6: Final answer
    x = 114.72

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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.