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Finding the Fourth Proportional to 133.77, 184.47 and 117.84

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Solution

The fourth proportional to 133.77, 184.47 and 117.84 is: 162.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.77 : 184.47 = 117.84 : x
  2. Step 2: Convert to fraction form
    133.77/184.47 = 117.84/x
  3. Step 3: Cross multiply
    133.77x = 184.47 × 117.84
  4. Step 4: Simplify right side
    133.77x = 21,737.94
  5. Step 5: Solve for x
    x = 21,737.94/133.77
  6. Step 6: Final answer
    x = 162.50

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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.