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Finding the Fourth Proportional to 151.37, 227.05 and 64.70

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Solution

The fourth proportional to 151.37, 227.05 and 64.70 is: 97.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.37 : 227.05 = 64.70 : x
  2. Step 2: Convert to fraction form
    151.37/227.05 = 64.70/x
  3. Step 3: Cross multiply
    151.37x = 227.05 × 64.70
  4. Step 4: Simplify right side
    151.37x = 14,690.05
  5. Step 5: Solve for x
    x = 14,690.05/151.37
  6. Step 6: Final answer
    x = 97.05

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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.