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Finding the Fourth Proportional to 84.80, 127.30 and 64.46

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Solution

The fourth proportional to 84.80, 127.30 and 64.46 is: 96.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.80 : 127.30 = 64.46 : x
  2. Step 2: Convert to fraction form
    84.80/127.30 = 64.46/x
  3. Step 3: Cross multiply
    84.80x = 127.30 × 64.46
  4. Step 4: Simplify right side
    84.80x = 8,205.76
  5. Step 5: Solve for x
    x = 8,205.76/84.80
  6. Step 6: Final answer
    x = 96.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.