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Finding the Fourth Proportional to 14.59, 21.84 and 10.59

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Solution

The fourth proportional to 14.59, 21.84 and 10.59 is: 15.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.59 : 21.84 = 10.59 : x
  2. Step 2: Convert to fraction form
    14.59/21.84 = 10.59/x
  3. Step 3: Cross multiply
    14.59x = 21.84 × 10.59
  4. Step 4: Simplify right side
    14.59x = 231.29
  5. Step 5: Solve for x
    x = 231.29/14.59
  6. Step 6: Final answer
    x = 15.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.