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Finding the Fourth Proportional to 35.42, 48.78 and 29.27

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Solution

The fourth proportional to 35.42, 48.78 and 29.27 is: 40.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    35.42 : 48.78 = 29.27 : x
  2. Step 2: Convert to fraction form
    35.42/48.78 = 29.27/x
  3. Step 3: Cross multiply
    35.42x = 48.78 × 29.27
  4. Step 4: Simplify right side
    35.42x = 1,427.55
  5. Step 5: Solve for x
    x = 1,427.55/35.42
  6. Step 6: Final answer
    x = 40.31

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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.