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Finding the Fourth Proportional to 9.70, 13.77 and 9.70

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Solution

The fourth proportional to 9.70, 13.77 and 9.70 is: 13.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.70 : 13.77 = 9.70 : x
  2. Step 2: Convert to fraction form
    9.70/13.77 = 9.70/x
  3. Step 3: Cross multiply
    9.70x = 13.77 × 9.70
  4. Step 4: Simplify right side
    9.70x = 133.57
  5. Step 5: Solve for x
    x = 133.57/9.70
  6. Step 6: Final answer
    x = 13.77

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.