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Finding the Fourth Proportional to 128.67, 176.42 and 128.54

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Solution

The fourth proportional to 128.67, 176.42 and 128.54 is: 176.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    128.67 : 176.42 = 128.54 : x
  2. Step 2: Convert to fraction form
    128.67/176.42 = 128.54/x
  3. Step 3: Cross multiply
    128.67x = 176.42 × 128.54
  4. Step 4: Simplify right side
    128.67x = 22,675.50
  5. Step 5: Solve for x
    x = 22,675.50/128.67
  6. Step 6: Final answer
    x = 176.23

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.