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Finding the Fourth Proportional to 123.83, 184.57 and 117

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Solution

The fourth proportional to 123.83, 184.57 and 117 is: 174.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.83 : 184.57 = 117 : x
  2. Step 2: Convert to fraction form
    123.83/184.57 = 117/x
  3. Step 3: Cross multiply
    123.83x = 184.57 × 117
  4. Step 4: Simplify right side
    123.83x = 21,594.69
  5. Step 5: Solve for x
    x = 21,594.69/123.83
  6. Step 6: Final answer
    x = 174.39

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.