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Finding the Fourth Proportional to 65.35, 90.12 and 39.46

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Solution

The fourth proportional to 65.35, 90.12 and 39.46 is: 54.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.35 : 90.12 = 39.46 : x
  2. Step 2: Convert to fraction form
    65.35/90.12 = 39.46/x
  3. Step 3: Cross multiply
    65.35x = 90.12 × 39.46
  4. Step 4: Simplify right side
    65.35x = 3,556.14
  5. Step 5: Solve for x
    x = 3,556.14/65.35
  6. Step 6: Final answer
    x = 54.42

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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.