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Finding the Fourth Proportional to 124.83, 187.05 and 85.73

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Solution

The fourth proportional to 124.83, 187.05 and 85.73 is: 128.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.83 : 187.05 = 85.73 : x
  2. Step 2: Convert to fraction form
    124.83/187.05 = 85.73/x
  3. Step 3: Cross multiply
    124.83x = 187.05 × 85.73
  4. Step 4: Simplify right side
    124.83x = 16,035.37
  5. Step 5: Solve for x
    x = 16,035.37/124.83
  6. Step 6: Final answer
    x = 128.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.