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Finding the Fourth Proportional to 135.13, 186.47 and 76.11

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Solution

The fourth proportional to 135.13, 186.47 and 76.11 is: 105.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.13 : 186.47 = 76.11 : x
  2. Step 2: Convert to fraction form
    135.13/186.47 = 76.11/x
  3. Step 3: Cross multiply
    135.13x = 186.47 × 76.11
  4. Step 4: Simplify right side
    135.13x = 14,192.98
  5. Step 5: Solve for x
    x = 14,192.98/135.13
  6. Step 6: Final answer
    x = 105.03

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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.