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Finding the Fourth Proportional to 77.26, 106.14 and 64.30

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Solution

The fourth proportional to 77.26, 106.14 and 64.30 is: 88.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.26 : 106.14 = 64.30 : x
  2. Step 2: Convert to fraction form
    77.26/106.14 = 64.30/x
  3. Step 3: Cross multiply
    77.26x = 106.14 × 64.30
  4. Step 4: Simplify right side
    77.26x = 6,824.80
  5. Step 5: Solve for x
    x = 6,824.80/77.26
  6. Step 6: Final answer
    x = 88.34

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.