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Finding the Fourth Proportional to 105.59, 158.31 and 51.45

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Solution

The fourth proportional to 105.59, 158.31 and 51.45 is: 77.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.59 : 158.31 = 51.45 : x
  2. Step 2: Convert to fraction form
    105.59/158.31 = 51.45/x
  3. Step 3: Cross multiply
    105.59x = 158.31 × 51.45
  4. Step 4: Simplify right side
    105.59x = 8,145.05
  5. Step 5: Solve for x
    x = 8,145.05/105.59
  6. Step 6: Final answer
    x = 77.14

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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.