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Finding the Fourth Proportional to 65.24, 90.03 and 39.00

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Solution

The fourth proportional to 65.24, 90.03 and 39.00 is: 53.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.24 : 90.03 = 39.00 : x
  2. Step 2: Convert to fraction form
    65.24/90.03 = 39.00/x
  3. Step 3: Cross multiply
    65.24x = 90.03 × 39.00
  4. Step 4: Simplify right side
    65.24x = 3,511.65
  5. Step 5: Solve for x
    x = 3,511.65/65.24
  6. Step 6: Final answer
    x = 53.83

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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.