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Finding the Fourth Proportional to 214.11, 320.94 and 84.02

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Solution

The fourth proportional to 214.11, 320.94 and 84.02 is: 125.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.11 : 320.94 = 84.02 : x
  2. Step 2: Convert to fraction form
    214.11/320.94 = 84.02/x
  3. Step 3: Cross multiply
    214.11x = 320.94 × 84.02
  4. Step 4: Simplify right side
    214.11x = 26,963.77
  5. Step 5: Solve for x
    x = 26,963.77/214.11
  6. Step 6: Final answer
    x = 125.93

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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.