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Finding the Fourth Proportional to 376.93, 565.43 and 103.02

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Solution

The fourth proportional to 376.93, 565.43 and 103.02 is: 154.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.93 : 565.43 = 103.02 : x
  2. Step 2: Convert to fraction form
    376.93/565.43 = 103.02/x
  3. Step 3: Cross multiply
    376.93x = 565.43 × 103.02
  4. Step 4: Simplify right side
    376.93x = 58,250.08
  5. Step 5: Solve for x
    x = 58,250.08/376.93
  6. Step 6: Final answer
    x = 154.54

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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.