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Finding the Fourth Proportional to 65.43, 90.38 and 64.97

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Solution

The fourth proportional to 65.43, 90.38 and 64.97 is: 89.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.43 : 90.38 = 64.97 : x
  2. Step 2: Convert to fraction form
    65.43/90.38 = 64.97/x
  3. Step 3: Cross multiply
    65.43x = 90.38 × 64.97
  4. Step 4: Simplify right side
    65.43x = 5,872.55
  5. Step 5: Solve for x
    x = 5,872.55/65.43
  6. Step 6: Final answer
    x = 89.75

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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.