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Finding the Fourth Proportional to 85.75, 128.81 and 79.99

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Solution

The fourth proportional to 85.75, 128.81 and 79.99 is: 120.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.75 : 128.81 = 79.99 : x
  2. Step 2: Convert to fraction form
    85.75/128.81 = 79.99/x
  3. Step 3: Cross multiply
    85.75x = 128.81 × 79.99
  4. Step 4: Simplify right side
    85.75x = 10,303.51
  5. Step 5: Solve for x
    x = 10,303.51/85.75
  6. Step 6: Final answer
    x = 120.16

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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.