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Finding the Fourth Proportional to 65.58, 98.22 and 33.02

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Solution

The fourth proportional to 65.58, 98.22 and 33.02 is: 49.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.58 : 98.22 = 33.02 : x
  2. Step 2: Convert to fraction form
    65.58/98.22 = 33.02/x
  3. Step 3: Cross multiply
    65.58x = 98.22 × 33.02
  4. Step 4: Simplify right side
    65.58x = 3,243.22
  5. Step 5: Solve for x
    x = 3,243.22/65.58
  6. Step 6: Final answer
    x = 49.45

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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.