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Finding the Fourth Proportional to 76.29, 114.53 and 49.29

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Solution

The fourth proportional to 76.29, 114.53 and 49.29 is: 73.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.29 : 114.53 = 49.29 : x
  2. Step 2: Convert to fraction form
    76.29/114.53 = 49.29/x
  3. Step 3: Cross multiply
    76.29x = 114.53 × 49.29
  4. Step 4: Simplify right side
    76.29x = 5,644.94
  5. Step 5: Solve for x
    x = 5,644.94/76.29
  6. Step 6: Final answer
    x = 73.99

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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.