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Finding the Fourth Proportional to 48.08, 65.82 and 46.53

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Solution

The fourth proportional to 48.08, 65.82 and 46.53 is: 63.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.08 : 65.82 = 46.53 : x
  2. Step 2: Convert to fraction form
    48.08/65.82 = 46.53/x
  3. Step 3: Cross multiply
    48.08x = 65.82 × 46.53
  4. Step 4: Simplify right side
    48.08x = 3,062.60
  5. Step 5: Solve for x
    x = 3,062.60/48.08
  6. Step 6: Final answer
    x = 63.69

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.