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Finding the Fourth Proportional to 135.12, 186.08 and 96.24

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Solution

The fourth proportional to 135.12, 186.08 and 96.24 is: 132.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.12 : 186.08 = 96.24 : x
  2. Step 2: Convert to fraction form
    135.12/186.08 = 96.24/x
  3. Step 3: Cross multiply
    135.12x = 186.08 × 96.24
  4. Step 4: Simplify right side
    135.12x = 17,908.34
  5. Step 5: Solve for x
    x = 17,908.34/135.12
  6. Step 6: Final answer
    x = 132.54

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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.