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Finding the Fourth Proportional to 105.95, 159.06 and 77.40

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Solution

The fourth proportional to 105.95, 159.06 and 77.40 is: 116.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.95 : 159.06 = 77.40 : x
  2. Step 2: Convert to fraction form
    105.95/159.06 = 77.40/x
  3. Step 3: Cross multiply
    105.95x = 159.06 × 77.40
  4. Step 4: Simplify right side
    105.95x = 12,311.53
  5. Step 5: Solve for x
    x = 12,311.53/105.95
  6. Step 6: Final answer
    x = 116.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.