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Finding the Fourth Proportional to 66.03, 90.87 and 49.64

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Solution

The fourth proportional to 66.03, 90.87 and 49.64 is: 68.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.03 : 90.87 = 49.64 : x
  2. Step 2: Convert to fraction form
    66.03/90.87 = 49.64/x
  3. Step 3: Cross multiply
    66.03x = 90.87 × 49.64
  4. Step 4: Simplify right side
    66.03x = 4,510.33
  5. Step 5: Solve for x
    x = 4,510.33/66.03
  6. Step 6: Final answer
    x = 68.31

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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.