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Finding the Fourth Proportional to 289.16, 433.68 and 83.70

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Solution

The fourth proportional to 289.16, 433.68 and 83.70 is: 125.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.16 : 433.68 = 83.70 : x
  2. Step 2: Convert to fraction form
    289.16/433.68 = 83.70/x
  3. Step 3: Cross multiply
    289.16x = 433.68 × 83.70
  4. Step 4: Simplify right side
    289.16x = 36,299.02
  5. Step 5: Solve for x
    x = 36,299.02/289.16
  6. Step 6: Final answer
    x = 125.53

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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.