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Finding the Fourth Proportional to 77.10, 115.72 and 41.06

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Solution

The fourth proportional to 77.10, 115.72 and 41.06 is: 61.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.10 : 115.72 = 41.06 : x
  2. Step 2: Convert to fraction form
    77.10/115.72 = 41.06/x
  3. Step 3: Cross multiply
    77.10x = 115.72 × 41.06
  4. Step 4: Simplify right side
    77.10x = 4,751.46
  5. Step 5: Solve for x
    x = 4,751.46/77.10
  6. Step 6: Final answer
    x = 61.63

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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.