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Finding the Fourth Proportional to 78.46, 117.36 and 77.56

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Solution

The fourth proportional to 78.46, 117.36 and 77.56 is: 116.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.46 : 117.36 = 77.56 : x
  2. Step 2: Convert to fraction form
    78.46/117.36 = 77.56/x
  3. Step 3: Cross multiply
    78.46x = 117.36 × 77.56
  4. Step 4: Simplify right side
    78.46x = 9,102.44
  5. Step 5: Solve for x
    x = 9,102.44/78.46
  6. Step 6: Final answer
    x = 116.01

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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.