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Finding the Fourth Proportional to 130.32, 196.24 and 122.40

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Solution

The fourth proportional to 130.32, 196.24 and 122.40 is: 184.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.32 : 196.24 = 122.40 : x
  2. Step 2: Convert to fraction form
    130.32/196.24 = 122.40/x
  3. Step 3: Cross multiply
    130.32x = 196.24 × 122.40
  4. Step 4: Simplify right side
    130.32x = 24,019.78
  5. Step 5: Solve for x
    x = 24,019.78/130.32
  6. Step 6: Final answer
    x = 184.31

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.