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Finding the Fourth Proportional to 377.03, 565.55 and 103.12

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Solution

The fourth proportional to 377.03, 565.55 and 103.12 is: 154.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.03 : 565.55 = 103.12 : x
  2. Step 2: Convert to fraction form
    377.03/565.55 = 103.12/x
  3. Step 3: Cross multiply
    377.03x = 565.55 × 103.12
  4. Step 4: Simplify right side
    377.03x = 58,319.00
  5. Step 5: Solve for x
    x = 58,319.00/377.03
  6. Step 6: Final answer
    x = 154.68

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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.