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Finding the Fourth Proportional to 91.84, 137.12 and 78.34

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Solution

The fourth proportional to 91.84, 137.12 and 78.34 is: 116.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.84 : 137.12 = 78.34 : x
  2. Step 2: Convert to fraction form
    91.84/137.12 = 78.34/x
  3. Step 3: Cross multiply
    91.84x = 137.12 × 78.34
  4. Step 4: Simplify right side
    91.84x = 10,741.98
  5. Step 5: Solve for x
    x = 10,741.98/91.84
  6. Step 6: Final answer
    x = 116.96

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.