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Finding the Fourth Proportional to 76.64, 114.95 and 22.55

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Solution

The fourth proportional to 76.64, 114.95 and 22.55 is: 33.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.64 : 114.95 = 22.55 : x
  2. Step 2: Convert to fraction form
    76.64/114.95 = 22.55/x
  3. Step 3: Cross multiply
    76.64x = 114.95 × 22.55
  4. Step 4: Simplify right side
    76.64x = 2,591.44
  5. Step 5: Solve for x
    x = 2,591.44/76.64
  6. Step 6: Final answer
    x = 33.82

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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.