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Finding the Fourth Proportional to 133.78, 184.56 and 95.02

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Solution

The fourth proportional to 133.78, 184.56 and 95.02 is: 131.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.78 : 184.56 = 95.02 : x
  2. Step 2: Convert to fraction form
    133.78/184.56 = 95.02/x
  3. Step 3: Cross multiply
    133.78x = 184.56 × 95.02
  4. Step 4: Simplify right side
    133.78x = 17,536.89
  5. Step 5: Solve for x
    x = 17,536.89/133.78
  6. Step 6: Final answer
    x = 131.09

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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.