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Finding the Fourth Proportional to 48.53, 66.84 and 41.58

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Solution

The fourth proportional to 48.53, 66.84 and 41.58 is: 57.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.53 : 66.84 = 41.58 : x
  2. Step 2: Convert to fraction form
    48.53/66.84 = 41.58/x
  3. Step 3: Cross multiply
    48.53x = 66.84 × 41.58
  4. Step 4: Simplify right side
    48.53x = 2,779.21
  5. Step 5: Solve for x
    x = 2,779.21/48.53
  6. Step 6: Final answer
    x = 57.27

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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.