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Finding the Fourth Proportional to 52.66, 72.75 and 41.61

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Solution

The fourth proportional to 52.66, 72.75 and 41.61 is: 57.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.66 : 72.75 = 41.61 : x
  2. Step 2: Convert to fraction form
    52.66/72.75 = 41.61/x
  3. Step 3: Cross multiply
    52.66x = 72.75 × 41.61
  4. Step 4: Simplify right side
    52.66x = 3,027.32
  5. Step 5: Solve for x
    x = 3,027.32/52.66
  6. Step 6: Final answer
    x = 57.49

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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.