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Finding the Fourth Proportional to 322.54, 483.84 and 106.07

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Solution

The fourth proportional to 322.54, 483.84 and 106.07 is: 159.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.54 : 483.84 = 106.07 : x
  2. Step 2: Convert to fraction form
    322.54/483.84 = 106.07/x
  3. Step 3: Cross multiply
    322.54x = 483.84 × 106.07
  4. Step 4: Simplify right side
    322.54x = 51,318.49
  5. Step 5: Solve for x
    x = 51,318.49/322.54
  6. Step 6: Final answer
    x = 159.11

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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.