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Finding the Fourth Proportional to 289.32, 434.06 and 106.84

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Solution

The fourth proportional to 289.32, 434.06 and 106.84 is: 160.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.32 : 434.06 = 106.84 : x
  2. Step 2: Convert to fraction form
    289.32/434.06 = 106.84/x
  3. Step 3: Cross multiply
    289.32x = 434.06 × 106.84
  4. Step 4: Simplify right side
    289.32x = 46,374.97
  5. Step 5: Solve for x
    x = 46,374.97/289.32
  6. Step 6: Final answer
    x = 160.29

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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.