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Finding the Fourth Proportional to 303.12, 454.68 and 108.06

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Solution

The fourth proportional to 303.12, 454.68 and 108.06 is: 162.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.12 : 454.68 = 108.06 : x
  2. Step 2: Convert to fraction form
    303.12/454.68 = 108.06/x
  3. Step 3: Cross multiply
    303.12x = 454.68 × 108.06
  4. Step 4: Simplify right side
    303.12x = 49,134.02
  5. Step 5: Solve for x
    x = 49,134.02/303.12
  6. Step 6: Final answer
    x = 162.10

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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.