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Finding the Fourth Proportional to 78.37, 107.94 and 65.23

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Solution

The fourth proportional to 78.37, 107.94 and 65.23 is: 89.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.37 : 107.94 = 65.23 : x
  2. Step 2: Convert to fraction form
    78.37/107.94 = 65.23/x
  3. Step 3: Cross multiply
    78.37x = 107.94 × 65.23
  4. Step 4: Simplify right side
    78.37x = 7,040.55
  5. Step 5: Solve for x
    x = 7,040.55/78.37
  6. Step 6: Final answer
    x = 89.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.