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Finding the Fourth Proportional to 289.52, 434.24 and 97.12

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Solution

The fourth proportional to 289.52, 434.24 and 97.12 is: 145.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.52 : 434.24 = 97.12 : x
  2. Step 2: Convert to fraction form
    289.52/434.24 = 97.12/x
  3. Step 3: Cross multiply
    289.52x = 434.24 × 97.12
  4. Step 4: Simplify right side
    289.52x = 42,173.39
  5. Step 5: Solve for x
    x = 42,173.39/289.52
  6. Step 6: Final answer
    x = 145.67

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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.