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Finding the Fourth Proportional to 23.59, 32.63 and 19.77

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Solution

The fourth proportional to 23.59, 32.63 and 19.77 is: 27.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.59 : 32.63 = 19.77 : x
  2. Step 2: Convert to fraction form
    23.59/32.63 = 19.77/x
  3. Step 3: Cross multiply
    23.59x = 32.63 × 19.77
  4. Step 4: Simplify right side
    23.59x = 645.02
  5. Step 5: Solve for x
    x = 645.02/23.59
  6. Step 6: Final answer
    x = 27.34

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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.