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Finding the Fourth Proportional to 96.90, 133.72 and 55.44

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Solution

The fourth proportional to 96.90, 133.72 and 55.44 is: 76.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.90 : 133.72 = 55.44 : x
  2. Step 2: Convert to fraction form
    96.90/133.72 = 55.44/x
  3. Step 3: Cross multiply
    96.90x = 133.72 × 55.44
  4. Step 4: Simplify right side
    96.90x = 7,413.89
  5. Step 5: Solve for x
    x = 7,413.89/96.90
  6. Step 6: Final answer
    x = 76.51

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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.