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Finding the Fourth Proportional to 214.19, 321.27 and 67.93

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Solution

The fourth proportional to 214.19, 321.27 and 67.93 is: 101.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.19 : 321.27 = 67.93 : x
  2. Step 2: Convert to fraction form
    214.19/321.27 = 67.93/x
  3. Step 3: Cross multiply
    214.19x = 321.27 × 67.93
  4. Step 4: Simplify right side
    214.19x = 21,822.26
  5. Step 5: Solve for x
    x = 21,822.26/214.19
  6. Step 6: Final answer
    x = 101.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.