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Finding the Fourth Proportional to 62.17, 85.74 and 40.34

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Solution

The fourth proportional to 62.17, 85.74 and 40.34 is: 55.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    62.17 : 85.74 = 40.34 : x
  2. Step 2: Convert to fraction form
    62.17/85.74 = 40.34/x
  3. Step 3: Cross multiply
    62.17x = 85.74 × 40.34
  4. Step 4: Simplify right side
    62.17x = 3,458.75
  5. Step 5: Solve for x
    x = 3,458.75/62.17
  6. Step 6: Final answer
    x = 55.63

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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.