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Finding the Fourth Proportional to 17.70, 27.02 and 17.70

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Solution

The fourth proportional to 17.70, 27.02 and 17.70 is: 27.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    17.70 : 27.02 = 17.70 : x
  2. Step 2: Convert to fraction form
    17.70/27.02 = 17.70/x
  3. Step 3: Cross multiply
    17.70x = 27.02 × 17.70
  4. Step 4: Simplify right side
    17.70x = 478.25
  5. Step 5: Solve for x
    x = 478.25/17.70
  6. Step 6: Final answer
    x = 27.02

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.