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Finding the Fourth Proportional to 78.68, 117.32 and 75.67

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Solution

The fourth proportional to 78.68, 117.32 and 75.67 is: 112.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.68 : 117.32 = 75.67 : x
  2. Step 2: Convert to fraction form
    78.68/117.32 = 75.67/x
  3. Step 3: Cross multiply
    78.68x = 117.32 × 75.67
  4. Step 4: Simplify right side
    78.68x = 8,878.02
  5. Step 5: Solve for x
    x = 8,878.02/78.68
  6. Step 6: Final answer
    x = 112.83

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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.