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Finding the Fourth Proportional to 76.76, 114.98 and 51.02

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Solution

The fourth proportional to 76.76, 114.98 and 51.02 is: 76.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.76 : 114.98 = 51.02 : x
  2. Step 2: Convert to fraction form
    76.76/114.98 = 51.02/x
  3. Step 3: Cross multiply
    76.76x = 114.98 × 51.02
  4. Step 4: Simplify right side
    76.76x = 5,865.70
  5. Step 5: Solve for x
    x = 5,865.70/76.76
  6. Step 6: Final answer
    x = 76.42

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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.