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Finding the Fourth Proportional to 152.07, 227.61 and 111.48

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Solution

The fourth proportional to 152.07, 227.61 and 111.48 is: 166.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.07 : 227.61 = 111.48 : x
  2. Step 2: Convert to fraction form
    152.07/227.61 = 111.48/x
  3. Step 3: Cross multiply
    152.07x = 227.61 × 111.48
  4. Step 4: Simplify right side
    152.07x = 25,373.96
  5. Step 5: Solve for x
    x = 25,373.96/152.07
  6. Step 6: Final answer
    x = 166.86

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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.