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Finding the Fourth Proportional to 53.83, 74.37 and 41.62

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Solution

The fourth proportional to 53.83, 74.37 and 41.62 is: 57.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.83 : 74.37 = 41.62 : x
  2. Step 2: Convert to fraction form
    53.83/74.37 = 41.62/x
  3. Step 3: Cross multiply
    53.83x = 74.37 × 41.62
  4. Step 4: Simplify right side
    53.83x = 3,095.28
  5. Step 5: Solve for x
    x = 3,095.28/53.83
  6. Step 6: Final answer
    x = 57.50

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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.