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Finding the Fourth Proportional to 112.99, 155.99 and 78

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Solution

The fourth proportional to 112.99, 155.99 and 78 is: 107.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.99 : 155.99 = 78 : x
  2. Step 2: Convert to fraction form
    112.99/155.99 = 78/x
  3. Step 3: Cross multiply
    112.99x = 155.99 × 78
  4. Step 4: Simplify right side
    112.99x = 12,167.22
  5. Step 5: Solve for x
    x = 12,167.22/112.99
  6. Step 6: Final answer
    x = 107.69

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