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Finding the Fourth Proportional to 135.89, 187.49 and 76.88

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Solution

The fourth proportional to 135.89, 187.49 and 76.88 is: 106.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.89 : 187.49 = 76.88 : x
  2. Step 2: Convert to fraction form
    135.89/187.49 = 76.88/x
  3. Step 3: Cross multiply
    135.89x = 187.49 × 76.88
  4. Step 4: Simplify right side
    135.89x = 14,413.49
  5. Step 5: Solve for x
    x = 14,413.49/135.89
  6. Step 6: Final answer
    x = 106.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.