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Finding the Fourth Proportional to 133.88, 184.64 and 84.74

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Solution

The fourth proportional to 133.88, 184.64 and 84.74 is: 116.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.88 : 184.64 = 84.74 : x
  2. Step 2: Convert to fraction form
    133.88/184.64 = 84.74/x
  3. Step 3: Cross multiply
    133.88x = 184.64 × 84.74
  4. Step 4: Simplify right side
    133.88x = 15,646.39
  5. Step 5: Solve for x
    x = 15,646.39/133.88
  6. Step 6: Final answer
    x = 116.87

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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.