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Finding the Fourth Proportional to 130.82, 180.57 and 75.59

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Solution

The fourth proportional to 130.82, 180.57 and 75.59 is: 104.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.82 : 180.57 = 75.59 : x
  2. Step 2: Convert to fraction form
    130.82/180.57 = 75.59/x
  3. Step 3: Cross multiply
    130.82x = 180.57 × 75.59
  4. Step 4: Simplify right side
    130.82x = 13,649.29
  5. Step 5: Solve for x
    x = 13,649.29/130.82
  6. Step 6: Final answer
    x = 104.34

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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.