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Finding the Fourth Proportional to 46.24, 64.25 and 45.66

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Solution

The fourth proportional to 46.24, 64.25 and 45.66 is: 63.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.24 : 64.25 = 45.66 : x
  2. Step 2: Convert to fraction form
    46.24/64.25 = 45.66/x
  3. Step 3: Cross multiply
    46.24x = 64.25 × 45.66
  4. Step 4: Simplify right side
    46.24x = 2,933.66
  5. Step 5: Solve for x
    x = 2,933.66/46.24
  6. Step 6: Final answer
    x = 63.44

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.