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Finding the Fourth Proportional to 65.37, 90.30 and 54.99

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Solution

The fourth proportional to 65.37, 90.30 and 54.99 is: 75.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.37 : 90.30 = 54.99 : x
  2. Step 2: Convert to fraction form
    65.37/90.30 = 54.99/x
  3. Step 3: Cross multiply
    65.37x = 90.30 × 54.99
  4. Step 4: Simplify right side
    65.37x = 4,965.60
  5. Step 5: Solve for x
    x = 4,965.60/65.37
  6. Step 6: Final answer
    x = 75.96

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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.