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Finding the Fourth Proportional to 11.70, 17.57 and 8.70

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Solution

The fourth proportional to 11.70, 17.57 and 8.70 is: 13.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.70 : 17.57 = 8.70 : x
  2. Step 2: Convert to fraction form
    11.70/17.57 = 8.70/x
  3. Step 3: Cross multiply
    11.70x = 17.57 × 8.70
  4. Step 4: Simplify right side
    11.70x = 152.86
  5. Step 5: Solve for x
    x = 152.86/11.70
  6. Step 6: Final answer
    x = 13.06

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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.