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Finding the Fourth Proportional to 78.69, 116.39 and 78.69

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Solution

The fourth proportional to 78.69, 116.39 and 78.69 is: 116.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.69 : 116.39 = 78.69 : x
  2. Step 2: Convert to fraction form
    78.69/116.39 = 78.69/x
  3. Step 3: Cross multiply
    78.69x = 116.39 × 78.69
  4. Step 4: Simplify right side
    78.69x = 9,159.36
  5. Step 5: Solve for x
    x = 9,159.36/78.69
  6. Step 6: Final answer
    x = 116.39

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.