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Finding the Fourth Proportional to 61.30, 84.66 and 46.60

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Solution

The fourth proportional to 61.30, 84.66 and 46.60 is: 64.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.30 : 84.66 = 46.60 : x
  2. Step 2: Convert to fraction form
    61.30/84.66 = 46.60/x
  3. Step 3: Cross multiply
    61.30x = 84.66 × 46.60
  4. Step 4: Simplify right side
    61.30x = 3,945.16
  5. Step 5: Solve for x
    x = 3,945.16/61.30
  6. Step 6: Final answer
    x = 64.36

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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.