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Finding the Fourth Proportional to 41.42, 57.14 and 29.77

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Solution

The fourth proportional to 41.42, 57.14 and 29.77 is: 41.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.42 : 57.14 = 29.77 : x
  2. Step 2: Convert to fraction form
    41.42/57.14 = 29.77/x
  3. Step 3: Cross multiply
    41.42x = 57.14 × 29.77
  4. Step 4: Simplify right side
    41.42x = 1,701.06
  5. Step 5: Solve for x
    x = 1,701.06/41.42
  6. Step 6: Final answer
    x = 41.07

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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.