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Finding the Fourth Proportional to 65.07, 97.64 and 33

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Solution

The fourth proportional to 65.07, 97.64 and 33 is: 49.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.07 : 97.64 = 33 : x
  2. Step 2: Convert to fraction form
    65.07/97.64 = 33/x
  3. Step 3: Cross multiply
    65.07x = 97.64 × 33
  4. Step 4: Simplify right side
    65.07x = 3,221.96
  5. Step 5: Solve for x
    x = 3,221.96/65.07
  6. Step 6: Final answer
    x = 49.52

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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.