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Finding the Fourth Proportional to 129, 193.50 and 52.01

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Solution

The fourth proportional to 129, 193.50 and 52.01 is: 78.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    129 : 193.50 = 52.01 : x
  2. Step 2: Convert to fraction form
    129/193.50 = 52.01/x
  3. Step 3: Cross multiply
    129x = 193.50 × 52.01
  4. Step 4: Simplify right side
    129x = 10,062.97
  5. Step 5: Solve for x
    x = 10,062.97/129
  6. Step 6: Final answer
    x = 78.01

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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.