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Finding the Fourth Proportional to 41.16, 61.64 and 37.78

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Solution

The fourth proportional to 41.16, 61.64 and 37.78 is: 56.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.16 : 61.64 = 37.78 : x
  2. Step 2: Convert to fraction form
    41.16/61.64 = 37.78/x
  3. Step 3: Cross multiply
    41.16x = 61.64 × 37.78
  4. Step 4: Simplify right side
    41.16x = 2,328.76
  5. Step 5: Solve for x
    x = 2,328.76/41.16
  6. Step 6: Final answer
    x = 56.58

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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.