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Finding the Fourth Proportional to 29.00, 39.96 and 23.16

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Solution

The fourth proportional to 29.00, 39.96 and 23.16 is: 31.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.00 : 39.96 = 23.16 : x
  2. Step 2: Convert to fraction form
    29.00/39.96 = 23.16/x
  3. Step 3: Cross multiply
    29.00x = 39.96 × 23.16
  4. Step 4: Simplify right side
    29.00x = 925.47
  5. Step 5: Solve for x
    x = 925.47/29.00
  6. Step 6: Final answer
    x = 31.92

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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.