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Finding the Fourth Proportional to 66.36, 91.52 and 49.96

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Solution

The fourth proportional to 66.36, 91.52 and 49.96 is: 68.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.36 : 91.52 = 49.96 : x
  2. Step 2: Convert to fraction form
    66.36/91.52 = 49.96/x
  3. Step 3: Cross multiply
    66.36x = 91.52 × 49.96
  4. Step 4: Simplify right side
    66.36x = 4,572.34
  5. Step 5: Solve for x
    x = 4,572.34/66.36
  6. Step 6: Final answer
    x = 68.90

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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.