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Finding the Fourth Proportional to 134.25, 185.29 and 76.07

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Solution

The fourth proportional to 134.25, 185.29 and 76.07 is: 104.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.25 : 185.29 = 76.07 : x
  2. Step 2: Convert to fraction form
    134.25/185.29 = 76.07/x
  3. Step 3: Cross multiply
    134.25x = 185.29 × 76.07
  4. Step 4: Simplify right side
    134.25x = 14,093.89
  5. Step 5: Solve for x
    x = 14,093.89/134.25
  6. Step 6: Final answer
    x = 104.98

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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.