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Finding the Fourth Proportional to 215.19, 322.91 and 85.20

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Solution

The fourth proportional to 215.19, 322.91 and 85.20 is: 127.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.19 : 322.91 = 85.20 : x
  2. Step 2: Convert to fraction form
    215.19/322.91 = 85.20/x
  3. Step 3: Cross multiply
    215.19x = 322.91 × 85.20
  4. Step 4: Simplify right side
    215.19x = 27,512.67
  5. Step 5: Solve for x
    x = 27,512.67/215.19
  6. Step 6: Final answer
    x = 127.85

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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.