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Finding the Fourth Proportional to 23.56, 32.51 and 14.35

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Solution

The fourth proportional to 23.56, 32.51 and 14.35 is: 19.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.56 : 32.51 = 14.35 : x
  2. Step 2: Convert to fraction form
    23.56/32.51 = 14.35/x
  3. Step 3: Cross multiply
    23.56x = 32.51 × 14.35
  4. Step 4: Simplify right side
    23.56x = 466.47
  5. Step 5: Solve for x
    x = 466.47/23.56
  6. Step 6: Final answer
    x = 19.80

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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.