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Finding the Fourth Proportional to 76.07, 114.06 and 35.44

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Solution

The fourth proportional to 76.07, 114.06 and 35.44 is: 53.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.07 : 114.06 = 35.44 : x
  2. Step 2: Convert to fraction form
    76.07/114.06 = 35.44/x
  3. Step 3: Cross multiply
    76.07x = 114.06 × 35.44
  4. Step 4: Simplify right side
    76.07x = 4,042.29
  5. Step 5: Solve for x
    x = 4,042.29/76.07
  6. Step 6: Final answer
    x = 53.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.