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Finding the Fourth Proportional to 61.65, 85.02 and 50.71

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Solution

The fourth proportional to 61.65, 85.02 and 50.71 is: 69.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.65 : 85.02 = 50.71 : x
  2. Step 2: Convert to fraction form
    61.65/85.02 = 50.71/x
  3. Step 3: Cross multiply
    61.65x = 85.02 × 50.71
  4. Step 4: Simplify right side
    61.65x = 4,311.36
  5. Step 5: Solve for x
    x = 4,311.36/61.65
  6. Step 6: Final answer
    x = 69.93

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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.