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Finding the Fourth Proportional to 214.16, 320.94 and 77.06

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Solution

The fourth proportional to 214.16, 320.94 and 77.06 is: 115.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.16 : 320.94 = 77.06 : x
  2. Step 2: Convert to fraction form
    214.16/320.94 = 77.06/x
  3. Step 3: Cross multiply
    214.16x = 320.94 × 77.06
  4. Step 4: Simplify right side
    214.16x = 24,732.44
  5. Step 5: Solve for x
    x = 24,732.44/214.16
  6. Step 6: Final answer
    x = 115.49

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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.