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Finding the Fourth Proportional to 130.35, 178.69 and 128.33

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Solution

The fourth proportional to 130.35, 178.69 and 128.33 is: 175.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.35 : 178.69 = 128.33 : x
  2. Step 2: Convert to fraction form
    130.35/178.69 = 128.33/x
  3. Step 3: Cross multiply
    130.35x = 178.69 × 128.33
  4. Step 4: Simplify right side
    130.35x = 22,930.07
  5. Step 5: Solve for x
    x = 22,930.07/130.35
  6. Step 6: Final answer
    x = 175.91

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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.