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Finding the Fourth Proportional to 104.93, 144.96 and 89.55

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Solution

The fourth proportional to 104.93, 144.96 and 89.55 is: 123.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.93 : 144.96 = 89.55 : x
  2. Step 2: Convert to fraction form
    104.93/144.96 = 89.55/x
  3. Step 3: Cross multiply
    104.93x = 144.96 × 89.55
  4. Step 4: Simplify right side
    104.93x = 12,980.81
  5. Step 5: Solve for x
    x = 12,980.81/104.93
  6. Step 6: Final answer
    x = 123.71

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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.