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Finding the Fourth Proportional to 62.05, 85.58 and 53.85

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Solution

The fourth proportional to 62.05, 85.58 and 53.85 is: 74.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    62.05 : 85.58 = 53.85 : x
  2. Step 2: Convert to fraction form
    62.05/85.58 = 53.85/x
  3. Step 3: Cross multiply
    62.05x = 85.58 × 53.85
  4. Step 4: Simplify right side
    62.05x = 4,607.79
  5. Step 5: Solve for x
    x = 4,607.79/62.05
  6. Step 6: Final answer
    x = 74.27

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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.