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Finding the Fourth Proportional to 128.12, 176.42 and 109.68

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Solution

The fourth proportional to 128.12, 176.42 and 109.68 is: 151.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    128.12 : 176.42 = 109.68 : x
  2. Step 2: Convert to fraction form
    128.12/176.42 = 109.68/x
  3. Step 3: Cross multiply
    128.12x = 176.42 × 109.68
  4. Step 4: Simplify right side
    128.12x = 19,349.20
  5. Step 5: Solve for x
    x = 19,349.20/128.12
  6. Step 6: Final answer
    x = 151.03

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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.