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Finding the Fourth Proportional to 114.96, 172.44 and 46.54

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Solution

The fourth proportional to 114.96, 172.44 and 46.54 is: 69.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.96 : 172.44 = 46.54 : x
  2. Step 2: Convert to fraction form
    114.96/172.44 = 46.54/x
  3. Step 3: Cross multiply
    114.96x = 172.44 × 46.54
  4. Step 4: Simplify right side
    114.96x = 8,025.36
  5. Step 5: Solve for x
    x = 8,025.36/114.96
  6. Step 6: Final answer
    x = 69.81

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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.