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Finding the Fourth Proportional to 135.56, 186.90 and 96.16

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Solution

The fourth proportional to 135.56, 186.90 and 96.16 is: 132.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.56 : 186.90 = 96.16 : x
  2. Step 2: Convert to fraction form
    135.56/186.90 = 96.16/x
  3. Step 3: Cross multiply
    135.56x = 186.90 × 96.16
  4. Step 4: Simplify right side
    135.56x = 17,972.30
  5. Step 5: Solve for x
    x = 17,972.30/135.56
  6. Step 6: Final answer
    x = 132.58

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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.