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Finding the Fourth Proportional to 29.43, 40.64 and 23.60

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Solution

The fourth proportional to 29.43, 40.64 and 23.60 is: 32.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.43 : 40.64 = 23.60 : x
  2. Step 2: Convert to fraction form
    29.43/40.64 = 23.60/x
  3. Step 3: Cross multiply
    29.43x = 40.64 × 23.60
  4. Step 4: Simplify right side
    29.43x = 958.78
  5. Step 5: Solve for x
    x = 958.78/29.43
  6. Step 6: Final answer
    x = 32.58

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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.