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Finding the Fourth Proportional to 70.22, 96.87 and 60.50

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Solution

The fourth proportional to 70.22, 96.87 and 60.50 is: 83.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.22 : 96.87 = 60.50 : x
  2. Step 2: Convert to fraction form
    70.22/96.87 = 60.50/x
  3. Step 3: Cross multiply
    70.22x = 96.87 × 60.50
  4. Step 4: Simplify right side
    70.22x = 5,860.64
  5. Step 5: Solve for x
    x = 5,860.64/70.22
  6. Step 6: Final answer
    x = 83.46

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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.