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Finding the Fourth Proportional to 91.93, 126.78 and 55.08

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Solution

The fourth proportional to 91.93, 126.78 and 55.08 is: 75.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.93 : 126.78 = 55.08 : x
  2. Step 2: Convert to fraction form
    91.93/126.78 = 55.08/x
  3. Step 3: Cross multiply
    91.93x = 126.78 × 55.08
  4. Step 4: Simplify right side
    91.93x = 6,982.41
  5. Step 5: Solve for x
    x = 6,982.41/91.93
  6. Step 6: Final answer
    x = 75.96

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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.