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Finding the Fourth Proportional to 61.65, 85.05 and 38.34

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Solution

The fourth proportional to 61.65, 85.05 and 38.34 is: 52.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.65 : 85.05 = 38.34 : x
  2. Step 2: Convert to fraction form
    61.65/85.05 = 38.34/x
  3. Step 3: Cross multiply
    61.65x = 85.05 × 38.34
  4. Step 4: Simplify right side
    61.65x = 3,260.82
  5. Step 5: Solve for x
    x = 3,260.82/61.65
  6. Step 6: Final answer
    x = 52.89

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Why These Related Problems?

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