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Finding the Fourth Proportional to 76.21, 114.31 and 30.55

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Solution

The fourth proportional to 76.21, 114.31 and 30.55 is: 45.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.21 : 114.31 = 30.55 : x
  2. Step 2: Convert to fraction form
    76.21/114.31 = 30.55/x
  3. Step 3: Cross multiply
    76.21x = 114.31 × 30.55
  4. Step 4: Simplify right side
    76.21x = 3,492.17
  5. Step 5: Solve for x
    x = 3,492.17/76.21
  6. Step 6: Final answer
    x = 45.82

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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.