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Finding the Fourth Proportional to 130.63, 180.08 and 93.78

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Solution

The fourth proportional to 130.63, 180.08 and 93.78 is: 129.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.63 : 180.08 = 93.78 : x
  2. Step 2: Convert to fraction form
    130.63/180.08 = 93.78/x
  3. Step 3: Cross multiply
    130.63x = 180.08 × 93.78
  4. Step 4: Simplify right side
    130.63x = 16,887.90
  5. Step 5: Solve for x
    x = 16,887.90/130.63
  6. Step 6: Final answer
    x = 129.28

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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.