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Finding the Fourth Proportional to 128.09, 176.86 and 81.51

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Solution

The fourth proportional to 128.09, 176.86 and 81.51 is: 112.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    128.09 : 176.86 = 81.51 : x
  2. Step 2: Convert to fraction form
    128.09/176.86 = 81.51/x
  3. Step 3: Cross multiply
    128.09x = 176.86 × 81.51
  4. Step 4: Simplify right side
    128.09x = 14,415.86
  5. Step 5: Solve for x
    x = 14,415.86/128.09
  6. Step 6: Final answer
    x = 112.54

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Why These Related Problems?

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