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Finding the Fourth Proportional to 128.23, 176.91 and 84.58

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Solution

The fourth proportional to 128.23, 176.91 and 84.58 is: 116.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    128.23 : 176.91 = 84.58 : x
  2. Step 2: Convert to fraction form
    128.23/176.91 = 84.58/x
  3. Step 3: Cross multiply
    128.23x = 176.91 × 84.58
  4. Step 4: Simplify right side
    128.23x = 14,963.05
  5. Step 5: Solve for x
    x = 14,963.05/128.23
  6. Step 6: Final answer
    x = 116.69

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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.