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Finding the Fourth Proportional to 65.83, 90.75 and 43.96

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Solution

The fourth proportional to 65.83, 90.75 and 43.96 is: 60.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.83 : 90.75 = 43.96 : x
  2. Step 2: Convert to fraction form
    65.83/90.75 = 43.96/x
  3. Step 3: Cross multiply
    65.83x = 90.75 × 43.96
  4. Step 4: Simplify right side
    65.83x = 3,989.37
  5. Step 5: Solve for x
    x = 3,989.37/65.83
  6. Step 6: Final answer
    x = 60.60

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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.