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Finding the Fourth Proportional to 152.16, 227.68 and 94.44

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Solution

The fourth proportional to 152.16, 227.68 and 94.44 is: 141.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.16 : 227.68 = 94.44 : x
  2. Step 2: Convert to fraction form
    152.16/227.68 = 94.44/x
  3. Step 3: Cross multiply
    152.16x = 227.68 × 94.44
  4. Step 4: Simplify right side
    152.16x = 21,502.10
  5. Step 5: Solve for x
    x = 21,502.10/152.16
  6. Step 6: Final answer
    x = 141.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.