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Finding the Fourth Proportional to 289.66, 434.14 and 106.84

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Solution

The fourth proportional to 289.66, 434.14 and 106.84 is: 160.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.66 : 434.14 = 106.84 : x
  2. Step 2: Convert to fraction form
    289.66/434.14 = 106.84/x
  3. Step 3: Cross multiply
    289.66x = 434.14 × 106.84
  4. Step 4: Simplify right side
    289.66x = 46,383.52
  5. Step 5: Solve for x
    x = 46,383.52/289.66
  6. Step 6: Final answer
    x = 160.13

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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.