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Finding the Fourth Proportional to 24.95, 34.49 and 23.06

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Solution

The fourth proportional to 24.95, 34.49 and 23.06 is: 31.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.95 : 34.49 = 23.06 : x
  2. Step 2: Convert to fraction form
    24.95/34.49 = 23.06/x
  3. Step 3: Cross multiply
    24.95x = 34.49 × 23.06
  4. Step 4: Simplify right side
    24.95x = 795.34
  5. Step 5: Solve for x
    x = 795.34/24.95
  6. Step 6: Final answer
    x = 31.88

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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.