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Finding the Fourth Proportional to 129.60, 193.64 and 106.48

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Solution

The fourth proportional to 129.60, 193.64 and 106.48 is: 159.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.60 : 193.64 = 106.48 : x
  2. Step 2: Convert to fraction form
    129.60/193.64 = 106.48/x
  3. Step 3: Cross multiply
    129.60x = 193.64 × 106.48
  4. Step 4: Simplify right side
    129.60x = 20,618.28
  5. Step 5: Solve for x
    x = 20,618.28/129.60
  6. Step 6: Final answer
    x = 159.09

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.