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Finding the Fourth Proportional to 61.44, 84.96 and 47.08

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Solution

The fourth proportional to 61.44, 84.96 and 47.08 is: 65.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.44 : 84.96 = 47.08 : x
  2. Step 2: Convert to fraction form
    61.44/84.96 = 47.08/x
  3. Step 3: Cross multiply
    61.44x = 84.96 × 47.08
  4. Step 4: Simplify right side
    61.44x = 3,999.92
  5. Step 5: Solve for x
    x = 3,999.92/61.44
  6. Step 6: Final answer
    x = 65.10

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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.