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Finding the Fourth Proportional to 215.58, 323.39 and 71.30

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Solution

The fourth proportional to 215.58, 323.39 and 71.30 is: 106.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.58 : 323.39 = 71.30 : x
  2. Step 2: Convert to fraction form
    215.58/323.39 = 71.30/x
  3. Step 3: Cross multiply
    215.58x = 323.39 × 71.30
  4. Step 4: Simplify right side
    215.58x = 23,056.87
  5. Step 5: Solve for x
    x = 23,056.87/215.58
  6. Step 6: Final answer
    x = 106.95

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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.