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Finding the Fourth Proportional to 41.30, 62.18 and 37.58

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Solution

The fourth proportional to 41.30, 62.18 and 37.58 is: 56.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.30 : 62.18 = 37.58 : x
  2. Step 2: Convert to fraction form
    41.30/62.18 = 37.58/x
  3. Step 3: Cross multiply
    41.30x = 62.18 × 37.58
  4. Step 4: Simplify right side
    41.30x = 2,336.72
  5. Step 5: Solve for x
    x = 2,336.72/41.30
  6. Step 6: Final answer
    x = 56.58

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.