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Finding the Fourth Proportional to 61.22, 84.60 and 51.50

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Solution

The fourth proportional to 61.22, 84.60 and 51.50 is: 71.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.22 : 84.60 = 51.50 : x
  2. Step 2: Convert to fraction form
    61.22/84.60 = 51.50/x
  3. Step 3: Cross multiply
    61.22x = 84.60 × 51.50
  4. Step 4: Simplify right side
    61.22x = 4,356.90
  5. Step 5: Solve for x
    x = 4,356.90/61.22
  6. Step 6: Final answer
    x = 71.17

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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.