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Finding the Fourth Proportional to 76.88, 115.23 and 42.64

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Solution

The fourth proportional to 76.88, 115.23 and 42.64 is: 63.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.88 : 115.23 = 42.64 : x
  2. Step 2: Convert to fraction form
    76.88/115.23 = 42.64/x
  3. Step 3: Cross multiply
    76.88x = 115.23 × 42.64
  4. Step 4: Simplify right side
    76.88x = 4,913.41
  5. Step 5: Solve for x
    x = 4,913.41/76.88
  6. Step 6: Final answer
    x = 63.91

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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.