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Finding the Fourth Proportional to 104.87, 144.64 and 89.38

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Solution

The fourth proportional to 104.87, 144.64 and 89.38 is: 123.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.87 : 144.64 = 89.38 : x
  2. Step 2: Convert to fraction form
    104.87/144.64 = 89.38/x
  3. Step 3: Cross multiply
    104.87x = 144.64 × 89.38
  4. Step 4: Simplify right side
    104.87x = 12,927.92
  5. Step 5: Solve for x
    x = 12,927.92/104.87
  6. Step 6: Final answer
    x = 123.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.