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Finding the Fourth Proportional to 76.19, 114.29 and 24.82

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Solution

The fourth proportional to 76.19, 114.29 and 24.82 is: 37.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.19 : 114.29 = 24.82 : x
  2. Step 2: Convert to fraction form
    76.19/114.29 = 24.82/x
  3. Step 3: Cross multiply
    76.19x = 114.29 × 24.82
  4. Step 4: Simplify right side
    76.19x = 2,836.27
  5. Step 5: Solve for x
    x = 2,836.27/76.19
  6. Step 6: Final answer
    x = 37.23

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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.