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Finding the Fourth Proportional to 76.20, 114.16 and 30.53

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Solution

The fourth proportional to 76.20, 114.16 and 30.53 is: 45.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.20 : 114.16 = 30.53 : x
  2. Step 2: Convert to fraction form
    76.20/114.16 = 30.53/x
  3. Step 3: Cross multiply
    76.20x = 114.16 × 30.53
  4. Step 4: Simplify right side
    76.20x = 3,484.73
  5. Step 5: Solve for x
    x = 3,484.73/76.20
  6. Step 6: Final answer
    x = 45.73

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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.