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Finding the Fourth Proportional to 135.47, 186.96 and 77.25

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Solution

The fourth proportional to 135.47, 186.96 and 77.25 is: 106.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.47 : 186.96 = 77.25 : x
  2. Step 2: Convert to fraction form
    135.47/186.96 = 77.25/x
  3. Step 3: Cross multiply
    135.47x = 186.96 × 77.25
  4. Step 4: Simplify right side
    135.47x = 14,442.66
  5. Step 5: Solve for x
    x = 14,442.66/135.47
  6. Step 6: Final answer
    x = 106.62

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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.