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Finding the Fourth Proportional to 46.94, 64.62 and 40.01

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Solution

The fourth proportional to 46.94, 64.62 and 40.01 is: 55.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.94 : 64.62 = 40.01 : x
  2. Step 2: Convert to fraction form
    46.94/64.62 = 40.01/x
  3. Step 3: Cross multiply
    46.94x = 64.62 × 40.01
  4. Step 4: Simplify right side
    46.94x = 2,585.61
  5. Step 5: Solve for x
    x = 2,585.61/46.94
  6. Step 6: Final answer
    x = 55.09

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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.