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Finding the Fourth Proportional to 66.50, 99.78 and 23.78

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Solution

The fourth proportional to 66.50, 99.78 and 23.78 is: 35.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.50 : 99.78 = 23.78 : x
  2. Step 2: Convert to fraction form
    66.50/99.78 = 23.78/x
  3. Step 3: Cross multiply
    66.50x = 99.78 × 23.78
  4. Step 4: Simplify right side
    66.50x = 2,372.77
  5. Step 5: Solve for x
    x = 2,372.77/66.50
  6. Step 6: Final answer
    x = 35.68

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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.