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Finding the Fourth Proportional to 24.59, 33.93 and 23.01

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Solution

The fourth proportional to 24.59, 33.93 and 23.01 is: 31.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.59 : 33.93 = 23.01 : x
  2. Step 2: Convert to fraction form
    24.59/33.93 = 23.01/x
  3. Step 3: Cross multiply
    24.59x = 33.93 × 23.01
  4. Step 4: Simplify right side
    24.59x = 780.73
  5. Step 5: Solve for x
    x = 780.73/24.59
  6. Step 6: Final answer
    x = 31.75

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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.