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Finding the Fourth Proportional to 23.64, 35.44 and 10.12

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Solution

The fourth proportional to 23.64, 35.44 and 10.12 is: 15.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.64 : 35.44 = 10.12 : x
  2. Step 2: Convert to fraction form
    23.64/35.44 = 10.12/x
  3. Step 3: Cross multiply
    23.64x = 35.44 × 10.12
  4. Step 4: Simplify right side
    23.64x = 358.65
  5. Step 5: Solve for x
    x = 358.65/23.64
  6. Step 6: Final answer
    x = 15.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.