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Finding the Fourth Proportional to 125.76, 188.77 and 84.51

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Solution

The fourth proportional to 125.76, 188.77 and 84.51 is: 126.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.76 : 188.77 = 84.51 : x
  2. Step 2: Convert to fraction form
    125.76/188.77 = 84.51/x
  3. Step 3: Cross multiply
    125.76x = 188.77 × 84.51
  4. Step 4: Simplify right side
    125.76x = 15,952.95
  5. Step 5: Solve for x
    x = 15,952.95/125.76
  6. Step 6: Final answer
    x = 126.85

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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.