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Finding the Fourth Proportional to 78.37, 117.09 and 75.68

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Solution

The fourth proportional to 78.37, 117.09 and 75.68 is: 113.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.37 : 117.09 = 75.68 : x
  2. Step 2: Convert to fraction form
    78.37/117.09 = 75.68/x
  3. Step 3: Cross multiply
    78.37x = 117.09 × 75.68
  4. Step 4: Simplify right side
    78.37x = 8,861.37
  5. Step 5: Solve for x
    x = 8,861.37/78.37
  6. Step 6: Final answer
    x = 113.07

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.