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Finding the Fourth Proportional to 66.19, 91.26 and 49.84

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Solution

The fourth proportional to 66.19, 91.26 and 49.84 is: 68.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.19 : 91.26 = 49.84 : x
  2. Step 2: Convert to fraction form
    66.19/91.26 = 49.84/x
  3. Step 3: Cross multiply
    66.19x = 91.26 × 49.84
  4. Step 4: Simplify right side
    66.19x = 4,548.40
  5. Step 5: Solve for x
    x = 4,548.40/66.19
  6. Step 6: Final answer
    x = 68.72

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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.