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Finding the Fourth Proportional to 125.82, 188.65 and 83.02

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Solution

The fourth proportional to 125.82, 188.65 and 83.02 is: 124.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.82 : 188.65 = 83.02 : x
  2. Step 2: Convert to fraction form
    125.82/188.65 = 83.02/x
  3. Step 3: Cross multiply
    125.82x = 188.65 × 83.02
  4. Step 4: Simplify right side
    125.82x = 15,661.72
  5. Step 5: Solve for x
    x = 15,661.72/125.82
  6. Step 6: Final answer
    x = 124.48

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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.