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Finding the Fourth Proportional to 23.80, 35.70 and 7.76

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Solution

The fourth proportional to 23.80, 35.70 and 7.76 is: 11.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.80 : 35.70 = 7.76 : x
  2. Step 2: Convert to fraction form
    23.80/35.70 = 7.76/x
  3. Step 3: Cross multiply
    23.80x = 35.70 × 7.76
  4. Step 4: Simplify right side
    23.80x = 277.03
  5. Step 5: Solve for x
    x = 277.03/23.80
  6. Step 6: Final answer
    x = 11.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.