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Finding the Fourth Proportional to 320.54, 480.86 and 104.16

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Solution

The fourth proportional to 320.54, 480.86 and 104.16 is: 156.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.54 : 480.86 = 104.16 : x
  2. Step 2: Convert to fraction form
    320.54/480.86 = 104.16/x
  3. Step 3: Cross multiply
    320.54x = 480.86 × 104.16
  4. Step 4: Simplify right side
    320.54x = 50,085.86
  5. Step 5: Solve for x
    x = 50,085.86/320.54
  6. Step 6: Final answer
    x = 156.26

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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.