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Finding the Fourth Proportional to 105.47, 157.81 and 84.84

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Solution

The fourth proportional to 105.47, 157.81 and 84.84 is: 126.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.47 : 157.81 = 84.84 : x
  2. Step 2: Convert to fraction form
    105.47/157.81 = 84.84/x
  3. Step 3: Cross multiply
    105.47x = 157.81 × 84.84
  4. Step 4: Simplify right side
    105.47x = 13,388.60
  5. Step 5: Solve for x
    x = 13,388.60/105.47
  6. Step 6: Final answer
    x = 126.94

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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.