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Finding the Fourth Proportional to 215.12, 322.74 and 70.85

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Solution

The fourth proportional to 215.12, 322.74 and 70.85 is: 106.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.12 : 322.74 = 70.85 : x
  2. Step 2: Convert to fraction form
    215.12/322.74 = 70.85/x
  3. Step 3: Cross multiply
    215.12x = 322.74 × 70.85
  4. Step 4: Simplify right side
    215.12x = 22,866.13
  5. Step 5: Solve for x
    x = 22,866.13/215.12
  6. Step 6: Final answer
    x = 106.29

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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.