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Finding the Fourth Proportional to 320.69, 481.07 and 89.58

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Solution

The fourth proportional to 320.69, 481.07 and 89.58 is: 134.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.69 : 481.07 = 89.58 : x
  2. Step 2: Convert to fraction form
    320.69/481.07 = 89.58/x
  3. Step 3: Cross multiply
    320.69x = 481.07 × 89.58
  4. Step 4: Simplify right side
    320.69x = 43,095.77
  5. Step 5: Solve for x
    x = 43,095.77/320.69
  6. Step 6: Final answer
    x = 134.38

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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.