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Finding the Fourth Proportional to 46, 63.54 and 37.86

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Solution

The fourth proportional to 46, 63.54 and 37.86 is: 52.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    46 : 63.54 = 37.86 : x
  2. Step 2: Convert to fraction form
    46/63.54 = 37.86/x
  3. Step 3: Cross multiply
    46x = 63.54 × 37.86
  4. Step 4: Simplify right side
    46x = 2,405.62
  5. Step 5: Solve for x
    x = 2,405.62/46
  6. Step 6: Final answer
    x = 52.30

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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.