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Finding the Fourth Proportional to 66.23, 91.40 and 49.83

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Solution

The fourth proportional to 66.23, 91.40 and 49.83 is: 68.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.23 : 91.40 = 49.83 : x
  2. Step 2: Convert to fraction form
    66.23/91.40 = 49.83/x
  3. Step 3: Cross multiply
    66.23x = 91.40 × 49.83
  4. Step 4: Simplify right side
    66.23x = 4,553.76
  5. Step 5: Solve for x
    x = 4,553.76/66.23
  6. Step 6: Final answer
    x = 68.76

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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.