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Finding the Fourth Proportional to 152.95, 229.34 and 55.41

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Solution

The fourth proportional to 152.95, 229.34 and 55.41 is: 83.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.95 : 229.34 = 55.41 : x
  2. Step 2: Convert to fraction form
    152.95/229.34 = 55.41/x
  3. Step 3: Cross multiply
    152.95x = 229.34 × 55.41
  4. Step 4: Simplify right side
    152.95x = 12,707.73
  5. Step 5: Solve for x
    x = 12,707.73/152.95
  6. Step 6: Final answer
    x = 83.09

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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.