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Finding the Fourth Proportional to 65.35, 97.82 and 46

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Solution

The fourth proportional to 65.35, 97.82 and 46 is: 68.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.35 : 97.82 = 46 : x
  2. Step 2: Convert to fraction form
    65.35/97.82 = 46/x
  3. Step 3: Cross multiply
    65.35x = 97.82 × 46
  4. Step 4: Simplify right side
    65.35x = 4,499.72
  5. Step 5: Solve for x
    x = 4,499.72/65.35
  6. Step 6: Final answer
    x = 68.86

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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.