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Finding the Fourth Proportional to 321.40, 482.12 and 102.06

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Solution

The fourth proportional to 321.40, 482.12 and 102.06 is: 153.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.40 : 482.12 = 102.06 : x
  2. Step 2: Convert to fraction form
    321.40/482.12 = 102.06/x
  3. Step 3: Cross multiply
    321.40x = 482.12 × 102.06
  4. Step 4: Simplify right side
    321.40x = 49,205.17
  5. Step 5: Solve for x
    x = 49,205.17/321.40
  6. Step 6: Final answer
    x = 153.10

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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.