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Finding the Fourth Proportional to 22.59, 31.12 and 17.12

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Solution

The fourth proportional to 22.59, 31.12 and 17.12 is: 23.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.59 : 31.12 = 17.12 : x
  2. Step 2: Convert to fraction form
    22.59/31.12 = 17.12/x
  3. Step 3: Cross multiply
    22.59x = 31.12 × 17.12
  4. Step 4: Simplify right side
    22.59x = 532.81
  5. Step 5: Solve for x
    x = 532.81/22.59
  6. Step 6: Final answer
    x = 23.59

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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.