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Finding the Fourth Proportional to 23.71, 32.70 and 16.42

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Solution

The fourth proportional to 23.71, 32.70 and 16.42 is: 22.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.71 : 32.70 = 16.42 : x
  2. Step 2: Convert to fraction form
    23.71/32.70 = 16.42/x
  3. Step 3: Cross multiply
    23.71x = 32.70 × 16.42
  4. Step 4: Simplify right side
    23.71x = 536.93
  5. Step 5: Solve for x
    x = 536.93/23.71
  6. Step 6: Final answer
    x = 22.65

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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.