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Finding the Fourth Proportional to 130.03, 178.91 and 119.23

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Solution

The fourth proportional to 130.03, 178.91 and 119.23 is: 164.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.03 : 178.91 = 119.23 : x
  2. Step 2: Convert to fraction form
    130.03/178.91 = 119.23/x
  3. Step 3: Cross multiply
    130.03x = 178.91 × 119.23
  4. Step 4: Simplify right side
    130.03x = 21,330.84
  5. Step 5: Solve for x
    x = 21,330.84/130.03
  6. Step 6: Final answer
    x = 164.05

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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.