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Finding the Fourth Proportional to 134.45, 185.52 and 76.22

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Solution

The fourth proportional to 134.45, 185.52 and 76.22 is: 105.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.45 : 185.52 = 76.22 : x
  2. Step 2: Convert to fraction form
    134.45/185.52 = 76.22/x
  3. Step 3: Cross multiply
    134.45x = 185.52 × 76.22
  4. Step 4: Simplify right side
    134.45x = 14,140.33
  5. Step 5: Solve for x
    x = 14,140.33/134.45
  6. Step 6: Final answer
    x = 105.17

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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.