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Finding the Fourth Proportional to 45.32, 67.63 and 41.32

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Solution

The fourth proportional to 45.32, 67.63 and 41.32 is: 61.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    45.32 : 67.63 = 41.32 : x
  2. Step 2: Convert to fraction form
    45.32/67.63 = 41.32/x
  3. Step 3: Cross multiply
    45.32x = 67.63 × 41.32
  4. Step 4: Simplify right side
    45.32x = 2,794.47
  5. Step 5: Solve for x
    x = 2,794.47/45.32
  6. Step 6: Final answer
    x = 61.66

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.