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Finding the Fourth Proportional to 130.36, 196.33 and 98.52

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Solution

The fourth proportional to 130.36, 196.33 and 98.52 is: 148.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.36 : 196.33 = 98.52 : x
  2. Step 2: Convert to fraction form
    130.36/196.33 = 98.52/x
  3. Step 3: Cross multiply
    130.36x = 196.33 × 98.52
  4. Step 4: Simplify right side
    130.36x = 19,342.43
  5. Step 5: Solve for x
    x = 19,342.43/130.36
  6. Step 6: Final answer
    x = 148.38

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.