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Finding the Fourth Proportional to 48.10, 66.57 and 46.90

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Solution

The fourth proportional to 48.10, 66.57 and 46.90 is: 64.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.10 : 66.57 = 46.90 : x
  2. Step 2: Convert to fraction form
    48.10/66.57 = 46.90/x
  3. Step 3: Cross multiply
    48.10x = 66.57 × 46.90
  4. Step 4: Simplify right side
    48.10x = 3,122.13
  5. Step 5: Solve for x
    x = 3,122.13/48.10
  6. Step 6: Final answer
    x = 64.91

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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.