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Finding the Fourth Proportional to 113.95, 157.06 and 78.92

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Solution

The fourth proportional to 113.95, 157.06 and 78.92 is: 108.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.95 : 157.06 = 78.92 : x
  2. Step 2: Convert to fraction form
    113.95/157.06 = 78.92/x
  3. Step 3: Cross multiply
    113.95x = 157.06 × 78.92
  4. Step 4: Simplify right side
    113.95x = 12,395.18
  5. Step 5: Solve for x
    x = 12,395.18/113.95
  6. Step 6: Final answer
    x = 108.78

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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.