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Finding the Fourth Proportional to 144.93, 199.98 and 112.08

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Solution

The fourth proportional to 144.93, 199.98 and 112.08 is: 154.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.93 : 199.98 = 112.08 : x
  2. Step 2: Convert to fraction form
    144.93/199.98 = 112.08/x
  3. Step 3: Cross multiply
    144.93x = 199.98 × 112.08
  4. Step 4: Simplify right side
    144.93x = 22,413.76
  5. Step 5: Solve for x
    x = 22,413.76/144.93
  6. Step 6: Final answer
    x = 154.65

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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.