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Finding the Fourth Proportional to 65.54, 98.35 and 33.01

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Solution

The fourth proportional to 65.54, 98.35 and 33.01 is: 49.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.54 : 98.35 = 33.01 : x
  2. Step 2: Convert to fraction form
    65.54/98.35 = 33.01/x
  3. Step 3: Cross multiply
    65.54x = 98.35 × 33.01
  4. Step 4: Simplify right side
    65.54x = 3,246.21
  5. Step 5: Solve for x
    x = 3,246.21/65.54
  6. Step 6: Final answer
    x = 49.53

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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.