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Finding the Fourth Proportional to 76.53, 114.79 and 30.88

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Solution

The fourth proportional to 76.53, 114.79 and 30.88 is: 46.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.53 : 114.79 = 30.88 : x
  2. Step 2: Convert to fraction form
    76.53/114.79 = 30.88/x
  3. Step 3: Cross multiply
    76.53x = 114.79 × 30.88
  4. Step 4: Simplify right side
    76.53x = 3,544.72
  5. Step 5: Solve for x
    x = 3,544.72/76.53
  6. Step 6: Final answer
    x = 46.32

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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.