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Finding the Fourth Proportional to 289.06, 433.56 and 83.62

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Solution

The fourth proportional to 289.06, 433.56 and 83.62 is: 125.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.06 : 433.56 = 83.62 : x
  2. Step 2: Convert to fraction form
    289.06/433.56 = 83.62/x
  3. Step 3: Cross multiply
    289.06x = 433.56 × 83.62
  4. Step 4: Simplify right side
    289.06x = 36,254.29
  5. Step 5: Solve for x
    x = 36,254.29/289.06
  6. Step 6: Final answer
    x = 125.42

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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.