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Finding the Fourth Proportional to 112.91, 155.79 and 78.03

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Solution

The fourth proportional to 112.91, 155.79 and 78.03 is: 107.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.91 : 155.79 = 78.03 : x
  2. Step 2: Convert to fraction form
    112.91/155.79 = 78.03/x
  3. Step 3: Cross multiply
    112.91x = 155.79 × 78.03
  4. Step 4: Simplify right side
    112.91x = 12,156.29
  5. Step 5: Solve for x
    x = 12,156.29/112.91
  6. Step 6: Final answer
    x = 107.67

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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.