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Finding the Fourth Proportional to 105.01, 157.41 and 44.08

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Solution

The fourth proportional to 105.01, 157.41 and 44.08 is: 66.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.01 : 157.41 = 44.08 : x
  2. Step 2: Convert to fraction form
    105.01/157.41 = 44.08/x
  3. Step 3: Cross multiply
    105.01x = 157.41 × 44.08
  4. Step 4: Simplify right side
    105.01x = 6,938.24
  5. Step 5: Solve for x
    x = 6,938.24/105.01
  6. Step 6: Final answer
    x = 66.07

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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.