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Finding the Fourth Proportional to 130.95, 180.81 and 104.92

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Solution

The fourth proportional to 130.95, 180.81 and 104.92 is: 144.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.95 : 180.81 = 104.92 : x
  2. Step 2: Convert to fraction form
    130.95/180.81 = 104.92/x
  3. Step 3: Cross multiply
    130.95x = 180.81 × 104.92
  4. Step 4: Simplify right side
    130.95x = 18,970.13
  5. Step 5: Solve for x
    x = 18,970.13/130.95
  6. Step 6: Final answer
    x = 144.87

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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.