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Finding the Fourth Proportional to 9.52, 13.16 and 7.70

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Solution

The fourth proportional to 9.52, 13.16 and 7.70 is: 10.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.52 : 13.16 = 7.70 : x
  2. Step 2: Convert to fraction form
    9.52/13.16 = 7.70/x
  3. Step 3: Cross multiply
    9.52x = 13.16 × 7.70
  4. Step 4: Simplify right side
    9.52x = 101.29
  5. Step 5: Solve for x
    x = 101.29/9.52
  6. Step 6: Final answer
    x = 10.64

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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.