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Finding the Fourth Proportional to 289.54, 434.16 and 106.94

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Solution

The fourth proportional to 289.54, 434.16 and 106.94 is: 160.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.54 : 434.16 = 106.94 : x
  2. Step 2: Convert to fraction form
    289.54/434.16 = 106.94/x
  3. Step 3: Cross multiply
    289.54x = 434.16 × 106.94
  4. Step 4: Simplify right side
    289.54x = 46,429.07
  5. Step 5: Solve for x
    x = 46,429.07/289.54
  6. Step 6: Final answer
    x = 160.35

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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.