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Finding the Fourth Proportional to 285.29, 428.06 and 112.01

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Solution

The fourth proportional to 285.29, 428.06 and 112.01 is: 168.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.29 : 428.06 = 112.01 : x
  2. Step 2: Convert to fraction form
    285.29/428.06 = 112.01/x
  3. Step 3: Cross multiply
    285.29x = 428.06 × 112.01
  4. Step 4: Simplify right side
    285.29x = 47,947.00
  5. Step 5: Solve for x
    x = 47,947.00/285.29
  6. Step 6: Final answer
    x = 168.06

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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.