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Finding the Fourth Proportional to 29.04, 40.14 and 23.64

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Solution

The fourth proportional to 29.04, 40.14 and 23.64 is: 32.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.04 : 40.14 = 23.64 : x
  2. Step 2: Convert to fraction form
    29.04/40.14 = 23.64/x
  3. Step 3: Cross multiply
    29.04x = 40.14 × 23.64
  4. Step 4: Simplify right side
    29.04x = 948.91
  5. Step 5: Solve for x
    x = 948.91/29.04
  6. Step 6: Final answer
    x = 32.68

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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.