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Finding the Fourth Proportional to 77.54, 116.26 and 41.46

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Solution

The fourth proportional to 77.54, 116.26 and 41.46 is: 62.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.54 : 116.26 = 41.46 : x
  2. Step 2: Convert to fraction form
    77.54/116.26 = 41.46/x
  3. Step 3: Cross multiply
    77.54x = 116.26 × 41.46
  4. Step 4: Simplify right side
    77.54x = 4,820.14
  5. Step 5: Solve for x
    x = 4,820.14/77.54
  6. Step 6: Final answer
    x = 62.16

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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.