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Finding the Fourth Proportional to 133.86, 184.75 and 84.77

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Solution

The fourth proportional to 133.86, 184.75 and 84.77 is: 116.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.86 : 184.75 = 84.77 : x
  2. Step 2: Convert to fraction form
    133.86/184.75 = 84.77/x
  3. Step 3: Cross multiply
    133.86x = 184.75 × 84.77
  4. Step 4: Simplify right side
    133.86x = 15,660.81
  5. Step 5: Solve for x
    x = 15,660.81/133.86
  6. Step 6: Final answer
    x = 116.99

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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.