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Finding the Fourth Proportional to 76.54, 114.64 and 75.30

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Solution

The fourth proportional to 76.54, 114.64 and 75.30 is: 112.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.54 : 114.64 = 75.30 : x
  2. Step 2: Convert to fraction form
    76.54/114.64 = 75.30/x
  3. Step 3: Cross multiply
    76.54x = 114.64 × 75.30
  4. Step 4: Simplify right side
    76.54x = 8,632.39
  5. Step 5: Solve for x
    x = 8,632.39/76.54
  6. Step 6: Final answer
    x = 112.78

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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.