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Finding the Fourth Proportional to 105.74, 158.55 and 44.02

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Solution

The fourth proportional to 105.74, 158.55 and 44.02 is: 66.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.74 : 158.55 = 44.02 : x
  2. Step 2: Convert to fraction form
    105.74/158.55 = 44.02/x
  3. Step 3: Cross multiply
    105.74x = 158.55 × 44.02
  4. Step 4: Simplify right side
    105.74x = 6,979.37
  5. Step 5: Solve for x
    x = 6,979.37/105.74
  6. Step 6: Final answer
    x = 66.01

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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.