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Finding the Fourth Proportional to 76.68, 114.85 and 49.55

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Solution

The fourth proportional to 76.68, 114.85 and 49.55 is: 74.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.68 : 114.85 = 49.55 : x
  2. Step 2: Convert to fraction form
    76.68/114.85 = 49.55/x
  3. Step 3: Cross multiply
    76.68x = 114.85 × 49.55
  4. Step 4: Simplify right side
    76.68x = 5,690.31
  5. Step 5: Solve for x
    x = 5,690.31/76.68
  6. Step 6: Final answer
    x = 74.21

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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.