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Finding the Fourth Proportional to 125.66, 188.25 and 96.82

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Solution

The fourth proportional to 125.66, 188.25 and 96.82 is: 145.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.66 : 188.25 = 96.82 : x
  2. Step 2: Convert to fraction form
    125.66/188.25 = 96.82/x
  3. Step 3: Cross multiply
    125.66x = 188.25 × 96.82
  4. Step 4: Simplify right side
    125.66x = 18,226.37
  5. Step 5: Solve for x
    x = 18,226.37/125.66
  6. Step 6: Final answer
    x = 145.05

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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.