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Finding the Fourth Proportional to 130.96, 180.68 and 75.68

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Solution

The fourth proportional to 130.96, 180.68 and 75.68 is: 104.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.96 : 180.68 = 75.68 : x
  2. Step 2: Convert to fraction form
    130.96/180.68 = 75.68/x
  3. Step 3: Cross multiply
    130.96x = 180.68 × 75.68
  4. Step 4: Simplify right side
    130.96x = 13,673.15
  5. Step 5: Solve for x
    x = 13,673.15/130.96
  6. Step 6: Final answer
    x = 104.41

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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.