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Finding the Fourth Proportional to 214.68, 322.05 and 77.70

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Solution

The fourth proportional to 214.68, 322.05 and 77.70 is: 116.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.68 : 322.05 = 77.70 : x
  2. Step 2: Convert to fraction form
    214.68/322.05 = 77.70/x
  3. Step 3: Cross multiply
    214.68x = 322.05 × 77.70
  4. Step 4: Simplify right side
    214.68x = 25,023.29
  5. Step 5: Solve for x
    x = 25,023.29/214.68
  6. Step 6: Final answer
    x = 116.56

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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.