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Finding the Fourth Proportional to 130.66, 180.09 and 91.78

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Solution

The fourth proportional to 130.66, 180.09 and 91.78 is: 126.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.66 : 180.09 = 91.78 : x
  2. Step 2: Convert to fraction form
    130.66/180.09 = 91.78/x
  3. Step 3: Cross multiply
    130.66x = 180.09 × 91.78
  4. Step 4: Simplify right side
    130.66x = 16,528.66
  5. Step 5: Solve for x
    x = 16,528.66/130.66
  6. Step 6: Final answer
    x = 126.50

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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.