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Finding the Fourth Proportional to 130.82, 180.51 and 75.56

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Solution

The fourth proportional to 130.82, 180.51 and 75.56 is: 104.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.82 : 180.51 = 75.56 : x
  2. Step 2: Convert to fraction form
    130.82/180.51 = 75.56/x
  3. Step 3: Cross multiply
    130.82x = 180.51 × 75.56
  4. Step 4: Simplify right side
    130.82x = 13,638.51
  5. Step 5: Solve for x
    x = 13,638.51/130.82
  6. Step 6: Final answer
    x = 104.26

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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.