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Finding the Fourth Proportional to 29.48, 40.42 and 29.45

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Solution

The fourth proportional to 29.48, 40.42 and 29.45 is: 40.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.48 : 40.42 = 29.45 : x
  2. Step 2: Convert to fraction form
    29.48/40.42 = 29.45/x
  3. Step 3: Cross multiply
    29.48x = 40.42 × 29.45
  4. Step 4: Simplify right side
    29.48x = 1,190.40
  5. Step 5: Solve for x
    x = 1,190.40/29.48
  6. Step 6: Final answer
    x = 40.38

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.