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Finding the Fourth Proportional to 215.02, 322.52 and 70.74

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Solution

The fourth proportional to 215.02, 322.52 and 70.74 is: 106.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.02 : 322.52 = 70.74 : x
  2. Step 2: Convert to fraction form
    215.02/322.52 = 70.74/x
  3. Step 3: Cross multiply
    215.02x = 322.52 × 70.74
  4. Step 4: Simplify right side
    215.02x = 22,814.44
  5. Step 5: Solve for x
    x = 22,814.44/215.02
  6. Step 6: Final answer
    x = 106.11

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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.