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Finding the Fourth Proportional to 105.01, 157.36 and 40.85

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Solution

The fourth proportional to 105.01, 157.36 and 40.85 is: 61.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.01 : 157.36 = 40.85 : x
  2. Step 2: Convert to fraction form
    105.01/157.36 = 40.85/x
  3. Step 3: Cross multiply
    105.01x = 157.36 × 40.85
  4. Step 4: Simplify right side
    105.01x = 6,428.16
  5. Step 5: Solve for x
    x = 6,428.16/105.01
  6. Step 6: Final answer
    x = 61.21

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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.