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Finding the Fourth Proportional to 128.74, 177.44 and 109.10

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Solution

The fourth proportional to 128.74, 177.44 and 109.10 is: 150.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    128.74 : 177.44 = 109.10 : x
  2. Step 2: Convert to fraction form
    128.74/177.44 = 109.10/x
  3. Step 3: Cross multiply
    128.74x = 177.44 × 109.10
  4. Step 4: Simplify right side
    128.74x = 19,358.70
  5. Step 5: Solve for x
    x = 19,358.70/128.74
  6. Step 6: Final answer
    x = 150.37

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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.