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Finding the Fourth Proportional to 125.88, 188.62 and 77.69

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Solution

The fourth proportional to 125.88, 188.62 and 77.69 is: 116.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.88 : 188.62 = 77.69 : x
  2. Step 2: Convert to fraction form
    125.88/188.62 = 77.69/x
  3. Step 3: Cross multiply
    125.88x = 188.62 × 77.69
  4. Step 4: Simplify right side
    125.88x = 14,653.89
  5. Step 5: Solve for x
    x = 14,653.89/125.88
  6. Step 6: Final answer
    x = 116.41

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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.