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Finding the Fourth Proportional to 322.61, 483.80 and 106.13

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Solution

The fourth proportional to 322.61, 483.80 and 106.13 is: 159.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.61 : 483.80 = 106.13 : x
  2. Step 2: Convert to fraction form
    322.61/483.80 = 106.13/x
  3. Step 3: Cross multiply
    322.61x = 483.80 × 106.13
  4. Step 4: Simplify right side
    322.61x = 51,342.74
  5. Step 5: Solve for x
    x = 51,342.74/322.61
  6. Step 6: Final answer
    x = 159.15

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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.