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Finding the Fourth Proportional to 65.22, 89.85 and 54.09

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Solution

The fourth proportional to 65.22, 89.85 and 54.09 is: 74.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.22 : 89.85 = 54.09 : x
  2. Step 2: Convert to fraction form
    65.22/89.85 = 54.09/x
  3. Step 3: Cross multiply
    65.22x = 89.85 × 54.09
  4. Step 4: Simplify right side
    65.22x = 4,859.99
  5. Step 5: Solve for x
    x = 4,859.99/65.22
  6. Step 6: Final answer
    x = 74.52

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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.