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Finding the Fourth Proportional to 65.49, 90.35 and 43.62

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Solution

The fourth proportional to 65.49, 90.35 and 43.62 is: 60.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.49 : 90.35 = 43.62 : x
  2. Step 2: Convert to fraction form
    65.49/90.35 = 43.62/x
  3. Step 3: Cross multiply
    65.49x = 90.35 × 43.62
  4. Step 4: Simplify right side
    65.49x = 3,940.85
  5. Step 5: Solve for x
    x = 3,940.85/65.49
  6. Step 6: Final answer
    x = 60.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.