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Finding the Fourth Proportional to 135.32, 186.72 and 76.29

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Solution

The fourth proportional to 135.32, 186.72 and 76.29 is: 105.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.32 : 186.72 = 76.29 : x
  2. Step 2: Convert to fraction form
    135.32/186.72 = 76.29/x
  3. Step 3: Cross multiply
    135.32x = 186.72 × 76.29
  4. Step 4: Simplify right side
    135.32x = 14,244.87
  5. Step 5: Solve for x
    x = 14,244.87/135.32
  6. Step 6: Final answer
    x = 105.27

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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.