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Finding the Fourth Proportional to 137.54, 206.32 and 41.42

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Solution

The fourth proportional to 137.54, 206.32 and 41.42 is: 62.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.54 : 206.32 = 41.42 : x
  2. Step 2: Convert to fraction form
    137.54/206.32 = 41.42/x
  3. Step 3: Cross multiply
    137.54x = 206.32 × 41.42
  4. Step 4: Simplify right side
    137.54x = 8,545.77
  5. Step 5: Solve for x
    x = 8,545.77/137.54
  6. Step 6: Final answer
    x = 62.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.