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Finding the Fourth Proportional to 29.53, 40.75 and 25.41

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Solution

The fourth proportional to 29.53, 40.75 and 25.41 is: 35.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.53 : 40.75 = 25.41 : x
  2. Step 2: Convert to fraction form
    29.53/40.75 = 25.41/x
  3. Step 3: Cross multiply
    29.53x = 40.75 × 25.41
  4. Step 4: Simplify right side
    29.53x = 1,035.46
  5. Step 5: Solve for x
    x = 1,035.46/29.53
  6. Step 6: Final answer
    x = 35.06

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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.