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Finding the Fourth Proportional to 78.36, 117.59 and 67.56

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Solution

The fourth proportional to 78.36, 117.59 and 67.56 is: 101.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.36 : 117.59 = 67.56 : x
  2. Step 2: Convert to fraction form
    78.36/117.59 = 67.56/x
  3. Step 3: Cross multiply
    78.36x = 117.59 × 67.56
  4. Step 4: Simplify right side
    78.36x = 7,944.04
  5. Step 5: Solve for x
    x = 7,944.04/78.36
  6. Step 6: Final answer
    x = 101.38

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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.