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Finding the Fourth Proportional to 160.05, 220.88 and 94.56

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Solution

The fourth proportional to 160.05, 220.88 and 94.56 is: 130.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.05 : 220.88 = 94.56 : x
  2. Step 2: Convert to fraction form
    160.05/220.88 = 94.56/x
  3. Step 3: Cross multiply
    160.05x = 220.88 × 94.56
  4. Step 4: Simplify right side
    160.05x = 20,886.41
  5. Step 5: Solve for x
    x = 20,886.41/160.05
  6. Step 6: Final answer
    x = 130.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.