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Finding the Fourth Proportional to 130.94, 180.80 and 101.78

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Solution

The fourth proportional to 130.94, 180.80 and 101.78 is: 140.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.94 : 180.80 = 101.78 : x
  2. Step 2: Convert to fraction form
    130.94/180.80 = 101.78/x
  3. Step 3: Cross multiply
    130.94x = 180.80 × 101.78
  4. Step 4: Simplify right side
    130.94x = 18,401.82
  5. Step 5: Solve for x
    x = 18,401.82/130.94
  6. Step 6: Final answer
    x = 140.54

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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.