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Finding the Fourth Proportional to 130.89, 180.63 and 75.63

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Solution

The fourth proportional to 130.89, 180.63 and 75.63 is: 104.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.89 : 180.63 = 75.63 : x
  2. Step 2: Convert to fraction form
    130.89/180.63 = 75.63/x
  3. Step 3: Cross multiply
    130.89x = 180.63 × 75.63
  4. Step 4: Simplify right side
    130.89x = 13,661.72
  5. Step 5: Solve for x
    x = 13,661.72/130.89
  6. Step 6: Final answer
    x = 104.37

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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.