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Finding the Fourth Proportional to 77.02, 106.00 and 61.43

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Solution

The fourth proportional to 77.02, 106.00 and 61.43 is: 84.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.02 : 106.00 = 61.43 : x
  2. Step 2: Convert to fraction form
    77.02/106.00 = 61.43/x
  3. Step 3: Cross multiply
    77.02x = 106.00 × 61.43
  4. Step 4: Simplify right side
    77.02x = 6,510.90
  5. Step 5: Solve for x
    x = 6,510.90/77.02
  6. Step 6: Final answer
    x = 84.54

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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.