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Finding the Fourth Proportional to 215.05, 322.46 and 93.21

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Solution

The fourth proportional to 215.05, 322.46 and 93.21 is: 139.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.05 : 322.46 = 93.21 : x
  2. Step 2: Convert to fraction form
    215.05/322.46 = 93.21/x
  3. Step 3: Cross multiply
    215.05x = 322.46 × 93.21
  4. Step 4: Simplify right side
    215.05x = 30,056.03
  5. Step 5: Solve for x
    x = 30,056.03/215.05
  6. Step 6: Final answer
    x = 139.76

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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.