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Finding the Fourth Proportional to 130.63, 196.00 and 92.35

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Solution

The fourth proportional to 130.63, 196.00 and 92.35 is: 138.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.63 : 196.00 = 92.35 : x
  2. Step 2: Convert to fraction form
    130.63/196.00 = 92.35/x
  3. Step 3: Cross multiply
    130.63x = 196.00 × 92.35
  4. Step 4: Simplify right side
    130.63x = 18,101.91
  5. Step 5: Solve for x
    x = 18,101.91/130.63
  6. Step 6: Final answer
    x = 138.58

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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.