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Finding the Fourth Proportional to 130.20, 193.20 and 129.60

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Solution

The fourth proportional to 130.20, 193.20 and 129.60 is: 192.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.20 : 193.20 = 129.60 : x
  2. Step 2: Convert to fraction form
    130.20/193.20 = 129.60/x
  3. Step 3: Cross multiply
    130.20x = 193.20 × 129.60
  4. Step 4: Simplify right side
    130.20x = 25,038.72
  5. Step 5: Solve for x
    x = 25,038.72/130.20
  6. Step 6: Final answer
    x = 192.31

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.