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Finding the Fourth Proportional to 152.14, 227.86 and 91.14

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Solution

The fourth proportional to 152.14, 227.86 and 91.14 is: 136.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.14 : 227.86 = 91.14 : x
  2. Step 2: Convert to fraction form
    152.14/227.86 = 91.14/x
  3. Step 3: Cross multiply
    152.14x = 227.86 × 91.14
  4. Step 4: Simplify right side
    152.14x = 20,767.16
  5. Step 5: Solve for x
    x = 20,767.16/152.14
  6. Step 6: Final answer
    x = 136.50

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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.