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Finding the Fourth Proportional to 46.53, 69.44 and 41.06

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Solution

The fourth proportional to 46.53, 69.44 and 41.06 is: 61.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.53 : 69.44 = 41.06 : x
  2. Step 2: Convert to fraction form
    46.53/69.44 = 41.06/x
  3. Step 3: Cross multiply
    46.53x = 69.44 × 41.06
  4. Step 4: Simplify right side
    46.53x = 2,851.17
  5. Step 5: Solve for x
    x = 2,851.17/46.53
  6. Step 6: Final answer
    x = 61.28

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.