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Finding the Fourth Proportional to 23, 31.76 and 16.10

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Solution

The fourth proportional to 23, 31.76 and 16.10 is: 22.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    23 : 31.76 = 16.10 : x
  2. Step 2: Convert to fraction form
    23/31.76 = 16.10/x
  3. Step 3: Cross multiply
    23x = 31.76 × 16.10
  4. Step 4: Simplify right side
    23x = 511.34
  5. Step 5: Solve for x
    x = 511.34/23
  6. Step 6: Final answer
    x = 22.23

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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.