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Finding the Fourth Proportional to 64.80, 89.30 and 60.62

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Solution

The fourth proportional to 64.80, 89.30 and 60.62 is: 83.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.80 : 89.30 = 60.62 : x
  2. Step 2: Convert to fraction form
    64.80/89.30 = 60.62/x
  3. Step 3: Cross multiply
    64.80x = 89.30 × 60.62
  4. Step 4: Simplify right side
    64.80x = 5,413.07
  5. Step 5: Solve for x
    x = 5,413.07/64.80
  6. Step 6: Final answer
    x = 83.54

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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.