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Finding the Fourth Proportional to 129.36, 193.32 and 105

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Solution

The fourth proportional to 129.36, 193.32 and 105 is: 156.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.36 : 193.32 = 105 : x
  2. Step 2: Convert to fraction form
    129.36/193.32 = 105/x
  3. Step 3: Cross multiply
    129.36x = 193.32 × 105
  4. Step 4: Simplify right side
    129.36x = 20,298.60
  5. Step 5: Solve for x
    x = 20,298.60/129.36
  6. Step 6: Final answer
    x = 156.92

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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.