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Finding the Fourth Proportional to 64.80, 89.64 and 61.02

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Solution

The fourth proportional to 64.80, 89.64 and 61.02 is: 84.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.80 : 89.64 = 61.02 : x
  2. Step 2: Convert to fraction form
    64.80/89.64 = 61.02/x
  3. Step 3: Cross multiply
    64.80x = 89.64 × 61.02
  4. Step 4: Simplify right side
    64.80x = 5,469.83
  5. Step 5: Solve for x
    x = 5,469.83/64.80
  6. Step 6: Final answer
    x = 84.41

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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.