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Finding the Fourth Proportional to 114.22, 172.34 and 110.01

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Solution

The fourth proportional to 114.22, 172.34 and 110.01 is: 165.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.22 : 172.34 = 110.01 : x
  2. Step 2: Convert to fraction form
    114.22/172.34 = 110.01/x
  3. Step 3: Cross multiply
    114.22x = 172.34 × 110.01
  4. Step 4: Simplify right side
    114.22x = 18,959.12
  5. Step 5: Solve for x
    x = 18,959.12/114.22
  6. Step 6: Final answer
    x = 165.99

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.