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Finding the Fourth Proportional to 23.24, 32.03 and 17.77

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Solution

The fourth proportional to 23.24, 32.03 and 17.77 is: 24.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.24 : 32.03 = 17.77 : x
  2. Step 2: Convert to fraction form
    23.24/32.03 = 17.77/x
  3. Step 3: Cross multiply
    23.24x = 32.03 × 17.77
  4. Step 4: Simplify right side
    23.24x = 569.23
  5. Step 5: Solve for x
    x = 569.23/23.24
  6. Step 6: Final answer
    x = 24.50

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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.