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Finding the Fourth Proportional to 23.16, 31.98 and 17.71

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Solution

The fourth proportional to 23.16, 31.98 and 17.71 is: 24.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.16 : 31.98 = 17.71 : x
  2. Step 2: Convert to fraction form
    23.16/31.98 = 17.71/x
  3. Step 3: Cross multiply
    23.16x = 31.98 × 17.71
  4. Step 4: Simplify right side
    23.16x = 566.37
  5. Step 5: Solve for x
    x = 566.37/23.16
  6. Step 6: Final answer
    x = 24.45

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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.