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Finding the Fourth Proportional to 289.66, 434.42 and 107.14

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Solution

The fourth proportional to 289.66, 434.42 and 107.14 is: 160.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.66 : 434.42 = 107.14 : x
  2. Step 2: Convert to fraction form
    289.66/434.42 = 107.14/x
  3. Step 3: Cross multiply
    289.66x = 434.42 × 107.14
  4. Step 4: Simplify right side
    289.66x = 46,543.76
  5. Step 5: Solve for x
    x = 46,543.76/289.66
  6. Step 6: Final answer
    x = 160.68

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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.