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Finding the Fourth Proportional to 23.55, 32.49 and 17.40

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Solution

The fourth proportional to 23.55, 32.49 and 17.40 is: 24.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.55 : 32.49 = 17.40 : x
  2. Step 2: Convert to fraction form
    23.55/32.49 = 17.40/x
  3. Step 3: Cross multiply
    23.55x = 32.49 × 17.40
  4. Step 4: Simplify right side
    23.55x = 565.33
  5. Step 5: Solve for x
    x = 565.33/23.55
  6. Step 6: Final answer
    x = 24.01

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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.