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Finding the Fourth Proportional to 62.10, 85.61 and 41.34

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Solution

The fourth proportional to 62.10, 85.61 and 41.34 is: 56.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    62.10 : 85.61 = 41.34 : x
  2. Step 2: Convert to fraction form
    62.10/85.61 = 41.34/x
  3. Step 3: Cross multiply
    62.10x = 85.61 × 41.34
  4. Step 4: Simplify right side
    62.10x = 3,539.31
  5. Step 5: Solve for x
    x = 3,539.31/62.10
  6. Step 6: Final answer
    x = 56.99

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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.