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Finding the Fourth Proportional to 130.54, 195.34 and 97.84

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Solution

The fourth proportional to 130.54, 195.34 and 97.84 is: 146.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.54 : 195.34 = 97.84 : x
  2. Step 2: Convert to fraction form
    130.54/195.34 = 97.84/x
  3. Step 3: Cross multiply
    130.54x = 195.34 × 97.84
  4. Step 4: Simplify right side
    130.54x = 19,112.07
  5. Step 5: Solve for x
    x = 19,112.07/130.54
  6. Step 6: Final answer
    x = 146.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.