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Finding the Fourth Proportional to 76.19, 114.29 and 30.57

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Solution

The fourth proportional to 76.19, 114.29 and 30.57 is: 45.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.19 : 114.29 = 30.57 : x
  2. Step 2: Convert to fraction form
    76.19/114.29 = 30.57/x
  3. Step 3: Cross multiply
    76.19x = 114.29 × 30.57
  4. Step 4: Simplify right side
    76.19x = 3,493.29
  5. Step 5: Solve for x
    x = 3,493.29/76.19
  6. Step 6: Final answer
    x = 45.85

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Why These Related Problems?

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