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Finding the Fourth Proportional to 114.78, 172.24 and 109.56

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Solution

The fourth proportional to 114.78, 172.24 and 109.56 is: 164.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.78 : 172.24 = 109.56 : x
  2. Step 2: Convert to fraction form
    114.78/172.24 = 109.56/x
  3. Step 3: Cross multiply
    114.78x = 172.24 × 109.56
  4. Step 4: Simplify right side
    114.78x = 18,870.61
  5. Step 5: Solve for x
    x = 18,870.61/114.78
  6. Step 6: Final answer
    x = 164.41

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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.