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Finding the Fourth Proportional to 125.83, 188.81 and 85.16

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Solution

The fourth proportional to 125.83, 188.81 and 85.16 is: 127.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.83 : 188.81 = 85.16 : x
  2. Step 2: Convert to fraction form
    125.83/188.81 = 85.16/x
  3. Step 3: Cross multiply
    125.83x = 188.81 × 85.16
  4. Step 4: Simplify right side
    125.83x = 16,079.06
  5. Step 5: Solve for x
    x = 16,079.06/125.83
  6. Step 6: Final answer
    x = 127.78

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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.