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Finding the Fourth Proportional to 65.62, 89.38 and 65.44

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Solution

The fourth proportional to 65.62, 89.38 and 65.44 is: 89.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.62 : 89.38 = 65.44 : x
  2. Step 2: Convert to fraction form
    65.62/89.38 = 65.44/x
  3. Step 3: Cross multiply
    65.62x = 89.38 × 65.44
  4. Step 4: Simplify right side
    65.62x = 5,849.03
  5. Step 5: Solve for x
    x = 5,849.03/65.62
  6. Step 6: Final answer
    x = 89.13

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.