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Finding the Fourth Proportional to 133.02, 198.72 and 106.02

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Solution

The fourth proportional to 133.02, 198.72 and 106.02 is: 158.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.02 : 198.72 = 106.02 : x
  2. Step 2: Convert to fraction form
    133.02/198.72 = 106.02/x
  3. Step 3: Cross multiply
    133.02x = 198.72 × 106.02
  4. Step 4: Simplify right side
    133.02x = 21,068.29
  5. Step 5: Solve for x
    x = 21,068.29/133.02
  6. Step 6: Final answer
    x = 158.38

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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.