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Finding the Fourth Proportional to 130.80, 196.07 and 57.63

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Solution

The fourth proportional to 130.80, 196.07 and 57.63 is: 86.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.80 : 196.07 = 57.63 : x
  2. Step 2: Convert to fraction form
    130.80/196.07 = 57.63/x
  3. Step 3: Cross multiply
    130.80x = 196.07 × 57.63
  4. Step 4: Simplify right side
    130.80x = 11,299.51
  5. Step 5: Solve for x
    x = 11,299.51/130.80
  6. Step 6: Final answer
    x = 86.39

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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.