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Finding the Fourth Proportional to 152.88, 230.09 and 114.56

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Solution

The fourth proportional to 152.88, 230.09 and 114.56 is: 172.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.88 : 230.09 = 114.56 : x
  2. Step 2: Convert to fraction form
    152.88/230.09 = 114.56/x
  3. Step 3: Cross multiply
    152.88x = 230.09 × 114.56
  4. Step 4: Simplify right side
    152.88x = 26,359.54
  5. Step 5: Solve for x
    x = 26,359.54/152.88
  6. Step 6: Final answer
    x = 172.42

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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.