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Finding the Fourth Proportional to 76.54, 114.88 and 30.98

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Solution

The fourth proportional to 76.54, 114.88 and 30.98 is: 46.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.54 : 114.88 = 30.98 : x
  2. Step 2: Convert to fraction form
    76.54/114.88 = 30.98/x
  3. Step 3: Cross multiply
    76.54x = 114.88 × 30.98
  4. Step 4: Simplify right side
    76.54x = 3,558.98
  5. Step 5: Solve for x
    x = 3,558.98/76.54
  6. Step 6: Final answer
    x = 46.50

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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.