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Finding the Fourth Proportional to 76.14, 104.83 and 70.67

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Solution

The fourth proportional to 76.14, 104.83 and 70.67 is: 97.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.14 : 104.83 = 70.67 : x
  2. Step 2: Convert to fraction form
    76.14/104.83 = 70.67/x
  3. Step 3: Cross multiply
    76.14x = 104.83 × 70.67
  4. Step 4: Simplify right side
    76.14x = 7,408.42
  5. Step 5: Solve for x
    x = 7,408.42/76.14
  6. Step 6: Final answer
    x = 97.30

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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.