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Finding the Fourth Proportional to 29.37, 40.42 and 29.07

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Solution

The fourth proportional to 29.37, 40.42 and 29.07 is: 40.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.37 : 40.42 = 29.07 : x
  2. Step 2: Convert to fraction form
    29.37/40.42 = 29.07/x
  3. Step 3: Cross multiply
    29.37x = 40.42 × 29.07
  4. Step 4: Simplify right side
    29.37x = 1,175.01
  5. Step 5: Solve for x
    x = 1,175.01/29.37
  6. Step 6: Final answer
    x = 40.01

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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.