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Finding the Fourth Proportional to 91.93, 137.91 and 37.80

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Solution

The fourth proportional to 91.93, 137.91 and 37.80 is: 56.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.93 : 137.91 = 37.80 : x
  2. Step 2: Convert to fraction form
    91.93/137.91 = 37.80/x
  3. Step 3: Cross multiply
    91.93x = 137.91 × 37.80
  4. Step 4: Simplify right side
    91.93x = 5,212.62
  5. Step 5: Solve for x
    x = 5,212.62/91.93
  6. Step 6: Final answer
    x = 56.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.