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Finding the Fourth Proportional to 7.70, 11.61 and 7.53

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Solution

The fourth proportional to 7.70, 11.61 and 7.53 is: 11.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.70 : 11.61 = 7.53 : x
  2. Step 2: Convert to fraction form
    7.70/11.61 = 7.53/x
  3. Step 3: Cross multiply
    7.70x = 11.61 × 7.53
  4. Step 4: Simplify right side
    7.70x = 87.42
  5. Step 5: Solve for x
    x = 87.42/7.70
  6. Step 6: Final answer
    x = 11.36

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.