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Finding the Fourth Proportional to 61.83, 85.32 and 38.51

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Solution

The fourth proportional to 61.83, 85.32 and 38.51 is: 53.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.83 : 85.32 = 38.51 : x
  2. Step 2: Convert to fraction form
    61.83/85.32 = 38.51/x
  3. Step 3: Cross multiply
    61.83x = 85.32 × 38.51
  4. Step 4: Simplify right side
    61.83x = 3,285.25
  5. Step 5: Solve for x
    x = 3,285.25/61.83
  6. Step 6: Final answer
    x = 53.13

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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.