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Finding the Fourth Proportional to 130.38, 178.80 and 126.39

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Solution

The fourth proportional to 130.38, 178.80 and 126.39 is: 173.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.38 : 178.80 = 126.39 : x
  2. Step 2: Convert to fraction form
    130.38/178.80 = 126.39/x
  3. Step 3: Cross multiply
    130.38x = 178.80 × 126.39
  4. Step 4: Simplify right side
    130.38x = 22,598.53
  5. Step 5: Solve for x
    x = 22,598.53/130.38
  6. Step 6: Final answer
    x = 173.33

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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.