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Finding the Fourth Proportional to 130.51, 196.06 and 120.48

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Solution

The fourth proportional to 130.51, 196.06 and 120.48 is: 180.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.51 : 196.06 = 120.48 : x
  2. Step 2: Convert to fraction form
    130.51/196.06 = 120.48/x
  3. Step 3: Cross multiply
    130.51x = 196.06 × 120.48
  4. Step 4: Simplify right side
    130.51x = 23,621.31
  5. Step 5: Solve for x
    x = 23,621.31/130.51
  6. Step 6: Final answer
    x = 180.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.