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Finding the Fourth Proportional to 24.59, 37.09 and 23.53

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Solution

The fourth proportional to 24.59, 37.09 and 23.53 is: 35.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.59 : 37.09 = 23.53 : x
  2. Step 2: Convert to fraction form
    24.59/37.09 = 23.53/x
  3. Step 3: Cross multiply
    24.59x = 37.09 × 23.53
  4. Step 4: Simplify right side
    24.59x = 872.42
  5. Step 5: Solve for x
    x = 872.42/24.59
  6. Step 6: Final answer
    x = 35.49

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.