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Finding the Fourth Proportional to 65.90, 90.89 and 41.34

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Solution

The fourth proportional to 65.90, 90.89 and 41.34 is: 57.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.90 : 90.89 = 41.34 : x
  2. Step 2: Convert to fraction form
    65.90/90.89 = 41.34/x
  3. Step 3: Cross multiply
    65.90x = 90.89 × 41.34
  4. Step 4: Simplify right side
    65.90x = 3,757.68
  5. Step 5: Solve for x
    x = 3,757.68/65.90
  6. Step 6: Final answer
    x = 57.02

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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.