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Finding the Fourth Proportional to 128.37, 176.96 and 84.63

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Solution

The fourth proportional to 128.37, 176.96 and 84.63 is: 116.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    128.37 : 176.96 = 84.63 : x
  2. Step 2: Convert to fraction form
    128.37/176.96 = 84.63/x
  3. Step 3: Cross multiply
    128.37x = 176.96 × 84.63
  4. Step 4: Simplify right side
    128.37x = 14,975.70
  5. Step 5: Solve for x
    x = 14,975.70/128.37
  6. Step 6: Final answer
    x = 116.66

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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.