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Finding the Fourth Proportional to 130.86, 180.51 and 81.65

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Solution

The fourth proportional to 130.86, 180.51 and 81.65 is: 112.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.86 : 180.51 = 81.65 : x
  2. Step 2: Convert to fraction form
    130.86/180.51 = 81.65/x
  3. Step 3: Cross multiply
    130.86x = 180.51 × 81.65
  4. Step 4: Simplify right side
    130.86x = 14,739.21
  5. Step 5: Solve for x
    x = 14,739.21/130.86
  6. Step 6: Final answer
    x = 112.63

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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.