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Finding the Fourth Proportional to 17.15, 23.65 and 13

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Solution

The fourth proportional to 17.15, 23.65 and 13 is: 17.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    17.15 : 23.65 = 13 : x
  2. Step 2: Convert to fraction form
    17.15/23.65 = 13/x
  3. Step 3: Cross multiply
    17.15x = 23.65 × 13
  4. Step 4: Simplify right side
    17.15x = 307.45
  5. Step 5: Solve for x
    x = 307.45/17.15
  6. Step 6: Final answer
    x = 17.93

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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.