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Finding the Fourth Proportional to 320.02, 480.10 and 103.75

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Solution

The fourth proportional to 320.02, 480.10 and 103.75 is: 155.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.02 : 480.10 = 103.75 : x
  2. Step 2: Convert to fraction form
    320.02/480.10 = 103.75/x
  3. Step 3: Cross multiply
    320.02x = 480.10 × 103.75
  4. Step 4: Simplify right side
    320.02x = 49,809.86
  5. Step 5: Solve for x
    x = 49,809.86/320.02
  6. Step 6: Final answer
    x = 155.65

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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.