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Finding the Fourth Proportional to 128.09, 176.75 and 72.82

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Solution

The fourth proportional to 128.09, 176.75 and 72.82 is: 100.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    128.09 : 176.75 = 72.82 : x
  2. Step 2: Convert to fraction form
    128.09/176.75 = 72.82/x
  3. Step 3: Cross multiply
    128.09x = 176.75 × 72.82
  4. Step 4: Simplify right side
    128.09x = 12,870.94
  5. Step 5: Solve for x
    x = 12,870.94/128.09
  6. Step 6: Final answer
    x = 100.48

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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.