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Finding the Fourth Proportional to 133.66, 184.54 and 84.53

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Solution

The fourth proportional to 133.66, 184.54 and 84.53 is: 116.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.66 : 184.54 = 84.53 : x
  2. Step 2: Convert to fraction form
    133.66/184.54 = 84.53/x
  3. Step 3: Cross multiply
    133.66x = 184.54 × 84.53
  4. Step 4: Simplify right side
    133.66x = 15,599.17
  5. Step 5: Solve for x
    x = 15,599.17/133.66
  6. Step 6: Final answer
    x = 116.71

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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.