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Finding the Fourth Proportional to 40.78, 56.31 and 29.89

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Solution

The fourth proportional to 40.78, 56.31 and 29.89 is: 41.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.78 : 56.31 = 29.89 : x
  2. Step 2: Convert to fraction form
    40.78/56.31 = 29.89/x
  3. Step 3: Cross multiply
    40.78x = 56.31 × 29.89
  4. Step 4: Simplify right side
    40.78x = 1,683.11
  5. Step 5: Solve for x
    x = 1,683.11/40.78
  6. Step 6: Final answer
    x = 41.27

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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.