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Finding the Fourth Proportional to 376.45, 564.68 and 102.54

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Solution

The fourth proportional to 376.45, 564.68 and 102.54 is: 153.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.45 : 564.68 = 102.54 : x
  2. Step 2: Convert to fraction form
    376.45/564.68 = 102.54/x
  3. Step 3: Cross multiply
    376.45x = 564.68 × 102.54
  4. Step 4: Simplify right side
    376.45x = 57,903.55
  5. Step 5: Solve for x
    x = 57,903.55/376.45
  6. Step 6: Final answer
    x = 153.81

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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.