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Finding the Fourth Proportional to 289.52, 434.13 and 106.82

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Solution

The fourth proportional to 289.52, 434.13 and 106.82 is: 160.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.52 : 434.13 = 106.82 : x
  2. Step 2: Convert to fraction form
    289.52/434.13 = 106.82/x
  3. Step 3: Cross multiply
    289.52x = 434.13 × 106.82
  4. Step 4: Simplify right side
    289.52x = 46,372.82
  5. Step 5: Solve for x
    x = 46,372.82/289.52
  6. Step 6: Final answer
    x = 160.17

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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.