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Finding the Fourth Proportional to 84.81, 127.32 and 64.65

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Solution

The fourth proportional to 84.81, 127.32 and 64.65 is: 97.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.81 : 127.32 = 64.65 : x
  2. Step 2: Convert to fraction form
    84.81/127.32 = 64.65/x
  3. Step 3: Cross multiply
    84.81x = 127.32 × 64.65
  4. Step 4: Simplify right side
    84.81x = 8,231.24
  5. Step 5: Solve for x
    x = 8,231.24/84.81
  6. Step 6: Final answer
    x = 97.06

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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.