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Finding the Fourth Proportional to 125.82, 188.66 and 48.78

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Solution

The fourth proportional to 125.82, 188.66 and 48.78 is: 73.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.82 : 188.66 = 48.78 : x
  2. Step 2: Convert to fraction form
    125.82/188.66 = 48.78/x
  3. Step 3: Cross multiply
    125.82x = 188.66 × 48.78
  4. Step 4: Simplify right side
    125.82x = 9,202.59
  5. Step 5: Solve for x
    x = 9,202.59/125.82
  6. Step 6: Final answer
    x = 73.14

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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.