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Finding the Fourth Proportional to 135.98, 187.56 and 106.82

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Solution

The fourth proportional to 135.98, 187.56 and 106.82 is: 147.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.98 : 187.56 = 106.82 : x
  2. Step 2: Convert to fraction form
    135.98/187.56 = 106.82/x
  3. Step 3: Cross multiply
    135.98x = 187.56 × 106.82
  4. Step 4: Simplify right side
    135.98x = 20,035.16
  5. Step 5: Solve for x
    x = 20,035.16/135.98
  6. Step 6: Final answer
    x = 147.34

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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.