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Finding the Fourth Proportional to 61.50, 84.91 and 51.14

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Solution

The fourth proportional to 61.50, 84.91 and 51.14 is: 70.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.50 : 84.91 = 51.14 : x
  2. Step 2: Convert to fraction form
    61.50/84.91 = 51.14/x
  3. Step 3: Cross multiply
    61.50x = 84.91 × 51.14
  4. Step 4: Simplify right side
    61.50x = 4,342.30
  5. Step 5: Solve for x
    x = 4,342.30/61.50
  6. Step 6: Final answer
    x = 70.61

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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.