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Finding the Fourth Proportional to 62.21, 85.83 and 54.01

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Solution

The fourth proportional to 62.21, 85.83 and 54.01 is: 74.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    62.21 : 85.83 = 54.01 : x
  2. Step 2: Convert to fraction form
    62.21/85.83 = 54.01/x
  3. Step 3: Cross multiply
    62.21x = 85.83 × 54.01
  4. Step 4: Simplify right side
    62.21x = 4,635.46
  5. Step 5: Solve for x
    x = 4,635.46/62.21
  6. Step 6: Final answer
    x = 74.51

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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.