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Finding the Fourth Proportional to 129.03, 193.39 and 55.89

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Solution

The fourth proportional to 129.03, 193.39 and 55.89 is: 83.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.03 : 193.39 = 55.89 : x
  2. Step 2: Convert to fraction form
    129.03/193.39 = 55.89/x
  3. Step 3: Cross multiply
    129.03x = 193.39 × 55.89
  4. Step 4: Simplify right side
    129.03x = 10,808.43
  5. Step 5: Solve for x
    x = 10,808.43/129.03
  6. Step 6: Final answer
    x = 83.77

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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.