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Finding the Fourth Proportional to 133.06, 183.64 and 74.86

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Solution

The fourth proportional to 133.06, 183.64 and 74.86 is: 103.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.06 : 183.64 = 74.86 : x
  2. Step 2: Convert to fraction form
    133.06/183.64 = 74.86/x
  3. Step 3: Cross multiply
    133.06x = 183.64 × 74.86
  4. Step 4: Simplify right side
    133.06x = 13,747.29
  5. Step 5: Solve for x
    x = 13,747.29/133.06
  6. Step 6: Final answer
    x = 103.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.