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Finding the Fourth Proportional to 214.02, 321.09 and 96.90

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Solution

The fourth proportional to 214.02, 321.09 and 96.90 is: 145.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.02 : 321.09 = 96.90 : x
  2. Step 2: Convert to fraction form
    214.02/321.09 = 96.90/x
  3. Step 3: Cross multiply
    214.02x = 321.09 × 96.90
  4. Step 4: Simplify right side
    214.02x = 31,113.62
  5. Step 5: Solve for x
    x = 31,113.62/214.02
  6. Step 6: Final answer
    x = 145.38

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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.