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Finding the Fourth Proportional to 77.05, 106.26 and 64.55

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Solution

The fourth proportional to 77.05, 106.26 and 64.55 is: 89.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.05 : 106.26 = 64.55 : x
  2. Step 2: Convert to fraction form
    77.05/106.26 = 64.55/x
  3. Step 3: Cross multiply
    77.05x = 106.26 × 64.55
  4. Step 4: Simplify right side
    77.05x = 6,859.08
  5. Step 5: Solve for x
    x = 6,859.08/77.05
  6. Step 6: Final answer
    x = 89.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.