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Finding the Fourth Proportional to 76.88, 114.36 and 76.10

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Solution

The fourth proportional to 76.88, 114.36 and 76.10 is: 113.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.88 : 114.36 = 76.10 : x
  2. Step 2: Convert to fraction form
    76.88/114.36 = 76.10/x
  3. Step 3: Cross multiply
    76.88x = 114.36 × 76.10
  4. Step 4: Simplify right side
    76.88x = 8,702.80
  5. Step 5: Solve for x
    x = 8,702.80/76.88
  6. Step 6: Final answer
    x = 113.20

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.