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Finding the Fourth Proportional to 17.10, 23.57 and 14.50

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Solution

The fourth proportional to 17.10, 23.57 and 14.50 is: 19.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    17.10 : 23.57 = 14.50 : x
  2. Step 2: Convert to fraction form
    17.10/23.57 = 14.50/x
  3. Step 3: Cross multiply
    17.10x = 23.57 × 14.50
  4. Step 4: Simplify right side
    17.10x = 341.77
  5. Step 5: Solve for x
    x = 341.77/17.10
  6. Step 6: Final answer
    x = 19.99

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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.