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Finding the Fourth Proportional to 78.95, 109.03 and 61.67

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Solution

The fourth proportional to 78.95, 109.03 and 61.67 is: 85.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.95 : 109.03 = 61.67 : x
  2. Step 2: Convert to fraction form
    78.95/109.03 = 61.67/x
  3. Step 3: Cross multiply
    78.95x = 109.03 × 61.67
  4. Step 4: Simplify right side
    78.95x = 6,723.03
  5. Step 5: Solve for x
    x = 6,723.03/78.95
  6. Step 6: Final answer
    x = 85.16

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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.