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Finding the Fourth Proportional to 61.20, 84.38 and 46.64

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Solution

The fourth proportional to 61.20, 84.38 and 46.64 is: 64.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.20 : 84.38 = 46.64 : x
  2. Step 2: Convert to fraction form
    61.20/84.38 = 46.64/x
  3. Step 3: Cross multiply
    61.20x = 84.38 × 46.64
  4. Step 4: Simplify right side
    61.20x = 3,935.48
  5. Step 5: Solve for x
    x = 3,935.48/61.20
  6. Step 6: Final answer
    x = 64.31

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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.