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Finding the Fourth Proportional to 133.93, 184.72 and 84.77

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Solution

The fourth proportional to 133.93, 184.72 and 84.77 is: 116.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.93 : 184.72 = 84.77 : x
  2. Step 2: Convert to fraction form
    133.93/184.72 = 84.77/x
  3. Step 3: Cross multiply
    133.93x = 184.72 × 84.77
  4. Step 4: Simplify right side
    133.93x = 15,658.71
  5. Step 5: Solve for x
    x = 15,658.71/133.93
  6. Step 6: Final answer
    x = 116.92

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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.