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Finding the Fourth Proportional to 46.08, 64.02 and 45.64

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Solution

The fourth proportional to 46.08, 64.02 and 45.64 is: 63.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.08 : 64.02 = 45.64 : x
  2. Step 2: Convert to fraction form
    46.08/64.02 = 45.64/x
  3. Step 3: Cross multiply
    46.08x = 64.02 × 45.64
  4. Step 4: Simplify right side
    46.08x = 2,921.87
  5. Step 5: Solve for x
    x = 2,921.87/46.08
  6. Step 6: Final answer
    x = 63.41

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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.