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Finding the Fourth Proportional to 168.37, 253.01 and 114.60

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Solution

The fourth proportional to 168.37, 253.01 and 114.60 is: 172.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.37 : 253.01 = 114.60 : x
  2. Step 2: Convert to fraction form
    168.37/253.01 = 114.60/x
  3. Step 3: Cross multiply
    168.37x = 253.01 × 114.60
  4. Step 4: Simplify right side
    168.37x = 28,994.95
  5. Step 5: Solve for x
    x = 28,994.95/168.37
  6. Step 6: Final answer
    x = 172.21

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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.