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Finding the Fourth Proportional to 57.02, 78.60 and 46.64

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Solution

The fourth proportional to 57.02, 78.60 and 46.64 is: 64.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.02 : 78.60 = 46.64 : x
  2. Step 2: Convert to fraction form
    57.02/78.60 = 46.64/x
  3. Step 3: Cross multiply
    57.02x = 78.60 × 46.64
  4. Step 4: Simplify right side
    57.02x = 3,665.90
  5. Step 5: Solve for x
    x = 3,665.90/57.02
  6. Step 6: Final answer
    x = 64.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.