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Finding the Fourth Proportional to 67.64, 93.32 and 41.76

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Solution

The fourth proportional to 67.64, 93.32 and 41.76 is: 57.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.64 : 93.32 = 41.76 : x
  2. Step 2: Convert to fraction form
    67.64/93.32 = 41.76/x
  3. Step 3: Cross multiply
    67.64x = 93.32 × 41.76
  4. Step 4: Simplify right side
    67.64x = 3,897.04
  5. Step 5: Solve for x
    x = 3,897.04/67.64
  6. Step 6: Final answer
    x = 57.61

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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.