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Finding the Fourth Proportional to 78.14, 116.39 and 77.07

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Solution

The fourth proportional to 78.14, 116.39 and 77.07 is: 114.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.14 : 116.39 = 77.07 : x
  2. Step 2: Convert to fraction form
    78.14/116.39 = 77.07/x
  3. Step 3: Cross multiply
    78.14x = 116.39 × 77.07
  4. Step 4: Simplify right side
    78.14x = 8,969.79
  5. Step 5: Solve for x
    x = 8,969.79/78.14
  6. Step 6: Final answer
    x = 114.80

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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.