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Finding the Fourth Proportional to 65.23, 89.97 and 40.69

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Solution

The fourth proportional to 65.23, 89.97 and 40.69 is: 56.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.23 : 89.97 = 40.69 : x
  2. Step 2: Convert to fraction form
    65.23/89.97 = 40.69/x
  3. Step 3: Cross multiply
    65.23x = 89.97 × 40.69
  4. Step 4: Simplify right side
    65.23x = 3,660.88
  5. Step 5: Solve for x
    x = 3,660.88/65.23
  6. Step 6: Final answer
    x = 56.12

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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.