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Finding the Fourth Proportional to 144.67, 199.70 and 89.50

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Solution

The fourth proportional to 144.67, 199.70 and 89.50 is: 123.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.67 : 199.70 = 89.50 : x
  2. Step 2: Convert to fraction form
    144.67/199.70 = 89.50/x
  3. Step 3: Cross multiply
    144.67x = 199.70 × 89.50
  4. Step 4: Simplify right side
    144.67x = 17,873.15
  5. Step 5: Solve for x
    x = 17,873.15/144.67
  6. Step 6: Final answer
    x = 123.54

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