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Finding the Fourth Proportional to 289.72, 434.64 and 107.10

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Solution

The fourth proportional to 289.72, 434.64 and 107.10 is: 160.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.72 : 434.64 = 107.10 : x
  2. Step 2: Convert to fraction form
    289.72/434.64 = 107.10/x
  3. Step 3: Cross multiply
    289.72x = 434.64 × 107.10
  4. Step 4: Simplify right side
    289.72x = 46,549.94
  5. Step 5: Solve for x
    x = 46,549.94/289.72
  6. Step 6: Final answer
    x = 160.67

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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.