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Finding the Fourth Proportional to 23, 31.53 and 22.42

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Solution

The fourth proportional to 23, 31.53 and 22.42 is: 30.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    23 : 31.53 = 22.42 : x
  2. Step 2: Convert to fraction form
    23/31.53 = 22.42/x
  3. Step 3: Cross multiply
    23x = 31.53 × 22.42
  4. Step 4: Simplify right side
    23x = 706.63
  5. Step 5: Solve for x
    x = 706.63/23
  6. Step 6: Final answer
    x = 30.72

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.